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121001222011120 = 245115910721780673
BaseRepresentation
bin11011100000110011001010…
…110110101111100011110000
3120212102121022012122001112121
4123200303022312233203300
5111324441000313323440
61105203105523204024
734326023036644633
oct3340631266574360
9525377265561477
10121001222011120
113561136a36a150
12116a2a20516614
13526949b9255c9
1421c46c18d5c1a
15dec7bd30434a
hex6e0ccadaf8f0

121001222011120 has 160 divisors (see below), whose sum is σ = 315021729104640. Its totient is φ = 42850422865920.

The previous prime is 121001222011079. The next prime is 121001222011123. The reversal of 121001222011120 is 21110222100121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121001222011094 and 121001222011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001222011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334897 + ... + 16445776.

It is an arithmetic number, because the mean of its divisors is an integer number (1968885806904).

Almost surely, 2121001222011120 is an apocalyptic number.

121001222011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001222011120 is an abundant number, since it is smaller than the sum of its proper divisors (194020507093520).

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

121001222011120 is a wasteful number, since it uses less digits than its factorization.

121001222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21780863 (or 21780857 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121001222011120 its reverse (21110222100121), we get a palindrome (142111444111241).

The spelling of 121001222011120 in words is "one hundred twenty-one trillion, one billion, two hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 107 110 118 176 214 220 236 295 428 440 472 535 590 649 856 880 944 1070 1177 1180 1298 1712 2140 2354 2360 2596 3245 4280 4708 4720 5192 5885 6313 6490 8560 9416 10384 11770 12626 12980 18832 23540 25252 25960 31565 47080 50504 51920 63130 69443 94160 101008 126260 138886 252520 277772 347215 505040 555544 694430 1111088 1388860 2777720 5555440 21780673 43561346 87122692 108903365 174245384 217806730 239587403 348490768 435613460 479174806 871226920 958349612 1197937015 1285059707 1742453840 1916699224 2330532011 2395874030 2570119414 3833398448 4661064022 4791748060 5140238828 6425298535 9322128044 9583496120 10280477656 11652660055 12850597070 14135656777 18644256088 19166992240 20560955312 23305320110 25635852121 25701194140 28271313554 37288512176 46610640220 51271704242 51402388280 56542627108 70678283885 93221280440 102543408484 102804776560 113085254216 128179260605 137501388649 141356567770 186442560880 205086816968 226170508432 256358521210 275002777298 282713135540 410173633936 512717042420 550005554596 565426271080 687506943245 1025434084840 1100011109192 1130852542160 1375013886490 1512515275139 2050868169680 2200022218384 2750027772980 3025030550278 5500055545960 6050061100556 7562576375695 11000111091920 12100122201112 15125152751390 24200244402224 30250305502780 60500611005560 121001222011120