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1212001020120 = 2335118211118371
BaseRepresentation
bin10001101000110000111…
…000111110100011011000
311021212101102202002200010
4101220300320332203120
5124324134230120440
62324441404041520
7153364341455622
oct21506070764330
94255342662603
101212001020120
11428008a85140
12176a888332a0
138a3a2a18947
144293832dc12
15217d85ad580
hex11a30e3e8d8

1212001020120 has 128 divisors (see below), whose sum is σ = 3971383706880. Its totient is φ = 293460288000.

The previous prime is 1212001020103. The next prime is 1212001020127. The reversal of 1212001020120 is 210201002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1212001020096 and 1212001020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212001020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524535 + ... + 1642905.

It is an arithmetic number, because the mean of its divisors is an integer number (31026435210).

Almost surely, 21212001020120 is an apocalyptic number.

1212001020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212001020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985691853440).

1212001020120 is an abundant number, since it is smaller than the sum of its proper divisors (2759382686760).

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

1212001020120 is a wasteful number, since it uses less digits than its factorization.

1212001020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119217 (or 1119213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1212001020120 its reverse (210201002121), we get a palindrome (1422202022241).

The spelling of 1212001020120 in words is "one trillion, two hundred twelve billion, one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 821 1320 1642 2463 3284 4105 4926 6568 8210 9031 9852 12315 16420 18062 19704 24630 27093 32840 36124 45155 49260 54186 72248 90310 98520 108372 135465 180620 216744 270930 361240 541860 1083720 1118371 2236742 3355113 4473484 5591855 6710226 8946968 11183710 12302081 13420452 16775565 22367420 24604162 26840904 33551130 36906243 44734840 49208324 61510405 67102260 73812486 98416648 123020810 134204520 147624972 184531215 246041620 295249944 369062430 492083240 738124860 918182591 1476249720 1836365182 2754547773 3672730364 4590912955 5509095546 7345460728 9181825910 10100008501 11018191092 13772738865 18363651820 20200017002 22036382184 27545477730 30300025503 36727303640 40400034004 50500042505 55090955460 60600051006 80800068008 101000085010 110181910920 121200102012 151500127515 202000170020 242400204024 303000255030 404000340040 606000510060 1212001020120