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121254340001040 = 2433561790982607
BaseRepresentation
bin11011100100011110111001…
…110111001111110100010000
3120220022210122102210012202000
4123210132321313033310100
5111343112342020013130
61105515250320154000
734353223403240211
oct3344367167176420
9526283572705660
10121254340001040
11356a9749922374
1211723aa1168900
13528730996aa3c
1421d2a54465408
15e04184c1c260
hex6e47b9dcfd10

121254340001040 has 160 divisors (see below), whose sum is σ = 418330752975360. Its totient is φ = 32282084330496.

The previous prime is 121254340001017. The next prime is 121254340001071. The reversal of 121254340001040 is 40100043452121.

121254340001040 is a `hidden beast` number, since 1 + 2 + 1 + 254 + 3 + 400 + 0 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×1212543400010402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121254340000995 and 121254340001013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44158584 + ... + 46824023.

It is an arithmetic number, because the mean of its divisors is an integer number (2614567206096).

Almost surely, 2121254340001040 is an apocalyptic number.

121254340001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121254340001040 is an abundant number, since it is smaller than the sum of its proper divisors (297076412974320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121254340001040 is a wasteful number, since it uses less digits than its factorization.

121254340001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90983246 (or 90983234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 121254340001040 its reverse (40100043452121), we get a palindrome (161354383453161).

The spelling of 121254340001040 in words is "one hundred twenty-one trillion, two hundred fifty-four billion, three hundred forty million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 617 720 1080 1234 1851 2160 2468 3085 3702 4936 5553 6170 7404 9255 9872 11106 12340 14808 16659 18510 22212 24680 27765 29616 33318 37020 44424 49360 55530 66636 74040 83295 88848 111060 133272 148080 166590 222120 266544 333180 444240 666360 1332720 90982607 181965214 272947821 363930428 454913035 545895642 727860856 818843463 909826070 1091791284 1364739105 1455721712 1637686926 1819652140 2183582568 2456530389 2729478210 3275373852 3639304280 4094217315 4367165136 4913060778 5458956420 6550747704 7278608560 8188434630 9826121556 10917912840 12282651945 13101495408 16376869260 19652243112 21835825680 24565303890 32753738520 39304486224 49130607780 56136268519 65507477040 98261215560 112272537038 168408805557 196522431120 224545074076 280681342595 336817611114 449090148152 505226416671 561362685190 673635222228 842044027785 898180296304 1010452833342 1122725370380 1347270444456 1515679250013 1684088055570 2020905666684 2245450740760 2526132083355 2694540888912 3031358500026 3368176111140 4041811333368 4490901481520 5052264166710 6062717000052 6736352222280 7578396250065 8083622666736 10104528333420 12125434000104 13472704444560 15156792500130 20209056666840 24250868000208 30313585000260 40418113333680 60627170000520 121254340001040