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121111012002 = 232341531313083
BaseRepresentation
bin111000011001011000…
…1110110001010100010
3102120121102201212110010
41300302301312022202
53441013404341002
6131345421145350
711515146421311
oct1606261661242
9376542655403
10121111012002
11473aa010962
121b57b9bb256
13b561422416
145c0cb10278
15323c7b446c
hex1c32c762a2

121111012002 has 128 divisors (see below), whose sum is σ = 265903368192. Its totient is φ = 36668403200.

The previous prime is 121111011929. The next prime is 121111012013. The reversal of 121111012002 is 200210111121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39281953 + ... + 39285035.

It is an arithmetic number, because the mean of its divisors is an integer number (2077370064).

Almost surely, 2121111012002 is an apocalyptic number.

121111012002 is an abundant number, since it is smaller than the sum of its proper divisors (144792356190).

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

121111012002 is a wasteful number, since it uses less digits than its factorization.

121111012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121111012002 its reverse (200210111121), we get a palindrome (321321123123).

The spelling of 121111012002 in words is "one hundred twenty-one billion, one hundred eleven million, twelve thousand, two".

Divisors: 1 2 3 6 23 41 46 53 69 82 106 123 131 138 159 246 262 318 393 786 943 1219 1886 2173 2438 2829 3013 3083 3657 4346 5371 5658 6026 6166 6519 6943 7314 9039 9249 10742 13038 13886 16113 18078 18498 20829 32226 41658 49979 70909 99958 123533 126403 141818 149937 159689 163399 212727 247066 252806 284663 299874 319378 326798 370599 379209 403873 425454 479067 490197 569326 741198 758418 807746 853989 958134 980394 1211619 1707978 2423238 2907269 3758177 5814538 6547249 6699359 7516354 8721807 9289079 11274531 13094498 13398718 16558793 17443614 18578158 19641747 20098077 21405269 22549062 27867237 33117586 39283494 40196154 42810538 49676379 55734474 64215807 99352758 128431614 154085257 308170514 380852239 462255771 492321187 761704478 877616029 924511542 984642374 1142556717 1476963561 1755232058 2285113434 2632848087 2953927122 5265696174 20185168667 40370337334 60555506001 121111012002