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12021111123030 = 2335731223498691
BaseRepresentation
bin1010111011101110001000…
…0011101110110001010110
31120120012120220101021022000
42232323202003232301112
53033423213421414110
641322231110420130
72350332224420112
oct256734203566126
946505526337260
1012021111123030
113915140926019
121421931961646
13692780340c69
142d7b7969a742
1515ca6b4bd1c0
hexaeee20eec56

12021111123030 has 128 divisors (see below), whose sum is σ = 32522059146240. Its totient is φ = 3159125349120.

The previous prime is 12021111123011. The next prime is 12021111123037. The reversal of 12021111123030 is 3032111112021.

It is a super-2 number, since 2×120211111230302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021111122994 and 12021111123012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021111123037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23855985 + ... + 24354675.

It is an arithmetic number, because the mean of its divisors is an integer number (254078587080).

Almost surely, 212021111123030 is an apocalyptic number.

12021111123030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021111123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261029573120).

12021111123030 is an abundant number, since it is smaller than the sum of its proper divisors (20500948023210).

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

12021111123030 is a wasteful number, since it uses less digits than its factorization.

12021111123030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500003 (or 499997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12021111123030 its reverse (3032111112021), we get a palindrome (15053222235051).

The spelling of 12021111123030 in words is "twelve trillion, twenty-one billion, one hundred eleven million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1223 1314 1971 2190 2446 3285 3669 3942 6115 6570 7338 9855 11007 12230 18345 19710 22014 33021 36690 55035 66042 89279 110070 165105 178558 267837 330210 446395 498691 535674 803511 892790 997382 1339185 1496073 1607022 2410533 2493455 2678370 2992146 4017555 4488219 4821066 4986910 7480365 8035110 8976438 12052665 13464657 14960730 22441095 24105330 26929314 36404443 44882190 67323285 72808886 109213329 134646570 182022215 218426658 327639987 364044430 546066645 609899093 655279974 982919961 1092133290 1219798186 1638199935 1829697279 1965839922 3049495465 3276399870 3659394558 4914599805 5489091837 6098990930 9148486395 9829199610 10978183674 16467275511 18296972790 27445459185 32934551022 44522633789 54890918370 82336377555 89045267578 133567901367 164672755110 222613168945 267135802734 400703704101 445226337890 667839506835 801407408202 1202111112303 1335679013670 2003518520505 2404222224606 4007037041010 6010555561515 12021111123030