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121102210112 = 26131312394649
BaseRepresentation
bin111000011001001000…
…0010001010001000000
3102120120211011200112012
41300302100101101000
53441004131210422
6131344504352052
711515011541652
oct1606220212100
9376524150465
10121102210112
11473a5049974
121b578a75628
13b55c65ccc0
145c0b89c6d2
15323bb264e2
hex1c32411440

121102210112 has 112 divisors (see below), whose sum is σ = 261920736000. Its totient is φ = 55222702080.

The previous prime is 121102210093. The next prime is 121102210169. The reversal of 121102210112 is 211012201121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26046764 + ... + 26051412.

It is an arithmetic number, because the mean of its divisors is an integer number (2338578000).

Almost surely, 2121102210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130960368000).

121102210112 is an abundant number, since it is smaller than the sum of its proper divisors (140818525888).

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

121102210112 is a wasteful number, since it uses less digits than its factorization.

121102210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121102210112 its reverse (211012201121), we get a palindrome (332114411233).

It can be divided in two parts, 12110 and 2210112, that added together give a palindrome (2222222).

The spelling of 121102210112 in words is "one hundred twenty-one billion, one hundred two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 131 208 239 262 416 478 524 832 956 1048 1703 1912 2096 3107 3406 3824 4192 4649 6214 6812 7648 8384 9298 12428 13624 15296 18596 24856 27248 31309 37192 49712 54496 60437 62618 74384 99424 108992 120874 125236 148768 198848 241748 250472 297536 407017 483496 500944 609019 814034 966992 1001888 1111111 1218038 1628068 1933984 2003776 2222222 2436076 3256136 3867968 4444444 4872152 6512272 7917247 8888888 9744304 13024544 14444443 15834494 17777776 19488608 26049088 28888886 31668988 35555552 38977216 57777772 63337976 71111104 115555544 126675952 145555541 231111088 253351904 291111082 462222176 506703808 582222164 924444352 1164444328 1892222033 2328888656 3784444066 4657777312 7568888132 9315554624 15137776264 30275552528 60551105056 121102210112