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112001210121112 = 231373137499215797
BaseRepresentation
bin11001011101110101010000…
…010101111111101110011000
3112200120012200220110011011121
4121131311100111333232120
5104140011434242333422
61034112351241535024
732406551253055534
oct3135652025775630
9480505626404147
10112001210121112
11327614a027a974
121068a7027a4474
134a65890461a10
141d92c5d3d6bc4
15ce361da798c7
hex65dd5057fb98

112001210121112 has 128 divisors (see below), whose sum is σ = 231391563480000. Its totient is φ = 50510931222528.

The previous prime is 112001210121109. The next prime is 112001210121113. The reversal of 112001210121112 is 211121012100211.

It is a super-2 number, since 2×1120012101211122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001210121113) 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, 518903998 + ... + 519119794.

Almost surely, 2112001210121112 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 112001210121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115695781740000).

112001210121112 is an abundant number, since it is smaller than the sum of its proper divisors (119390353358888).

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

112001210121112 is a wasteful number, since it uses less digits than its factorization.

112001210121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216525 (or 216521 counting only the distinct ones).

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

Adding to 112001210121112 its reverse (211121012100211), we get a palindrome (323122222221323).

The spelling of 112001210121112 in words is "one hundred twelve trillion, one billion, two hundred ten million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 73 104 137 146 274 292 499 548 584 949 998 1096 1781 1898 1996 3562 3796 3992 6487 7124 7592 10001 12974 14248 20002 25948 36427 40004 51896 68363 72854 80008 130013 136726 145708 215797 260026 273452 291416 431594 473551 520052 546904 863188 888719 947102 1040104 1726376 1777438 1894204 2805361 3554876 3788408 4990499 5610722 7109752 9980998 11221444 15753181 19961996 22442888 29564189 31506362 39923992 59128378 63012724 64876487 107682703 118256756 126025448 129752974 204791353 215365406 236513512 259505948 384334457 409582706 430730812 519011896 768668914 819165412 861461624 1399875139 1537337828 1638330824 2158185797 2799750278 3074675656 4316371594 5599500556 7860837319 8632743188 11199001112 14752530311 15721674638 17265486376 28056415361 29505060622 31443349276 56112830722 59010121244 62886698552 102190885147 112225661444 118020242488 191782894043 204381770294 224451322888 383565788086 408763540588 767131576172 817527081176 1076934712703 1534263152344 2153869425406 4307738850812 8615477701624 14000151265139 28000302530278 56000605060556 112001210121112