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12011133103032 = 2337213197743403
BaseRepresentation
bin1010111011001000111101…
…0100100110101110111000
31120112020211111222100001210
42232302033110212232320
53033242300033244112
641313501031043120
72346530034561600
oct256621724465670
946466744870053
1012011133103032
1139109905639a8
12141ba082104a0
1369185007b20b
142d74b0419c00
1515c685502b3c
hexaec8f526bb8

12011133103032 has 96 divisors (see below), whose sum is σ = 34956823017600. Its totient is φ = 3429150088896.

The previous prime is 12011133103027. The next prime is 12011133103049. The reversal of 12011133103032 is 23030133111021.

It is a happy number.

It is a super-2 number, since 2×120111331030322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320558 + ... + 5422845.

It is an arithmetic number, because the mean of its divisors is an integer number (364133573100).

Almost surely, 212011133103032 is an apocalyptic number.

12011133103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011133103032 is an abundant number, since it is smaller than the sum of its proper divisors (22945689914568).

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

12011133103032 is a wasteful number, since it uses less digits than its factorization.

12011133103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744745 (or 7744734 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011133103032 its reverse (23030133111021), we get a palindrome (35041266214053).

The spelling of 12011133103032 in words is "twelve trillion, eleven billion, one hundred thirty-three million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1319 2638 3957 5276 7914 9233 10552 15828 18466 27699 31656 36932 55398 64631 73864 110796 129262 193893 221592 258524 387786 517048 775572 1551144 7743403 15486806 23230209 30973612 46460418 54203821 61947224 92920836 108407642 162611463 185841672 216815284 325222926 379426747 433630568 650445852 758853494 1138280241 1300891704 1517706988 2276560482 3035413976 4553120964 9106241928 10213548557 20427097114 30640645671 40854194228 61281291342 71494839899 81708388456 122562582684 142989679798 214484519697 245125165368 285979359596 428969039394 500463879293 571958719192 857938078788 1000927758586 1501391637879 1715876157576 2001855517172 3002783275758 4003711034344 6005566551516 12011133103032