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12101012120112 = 24323107102439829
BaseRepresentation
bin1011000000010111110010…
…0001110110001000110000
31120211211211100012110211020
42300011330201312020300
53041230333100320422
641423043410215440
72356161234611346
oct260057441661060
946754740173736
1012101012120112
113946012961803
121435310584580
1369a174ac1066
142db999223996
1515eb95e3295c
hexb017c876230

12101012120112 has 80 divisors (see below), whose sum is σ = 32924980880640. Its totient is φ = 3822234862336.

The previous prime is 12101012119991. The next prime is 12101012120143. The reversal of 12101012120112 is 21102121010121.

It is a happy number.

It is a super-2 number, since 2×121010121201122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101012120091 and 12101012120100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51101787 + ... + 51338042.

It is an arithmetic number, because the mean of its divisors is an integer number (411562261008).

Almost surely, 212101012120112 is an apocalyptic number.

12101012120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101012120112 is an abundant number, since it is smaller than the sum of its proper divisors (20823968760528).

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

12101012120112 is a wasteful number, since it uses less digits than its factorization.

12101012120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102439970 (or 102439964 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12101012120112 its reverse (21102121010121), we get a palindrome (33203133130233).

The spelling of 12101012120112 in words is "twelve trillion, one hundred one billion, twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 214 276 321 368 428 552 642 856 1104 1284 1712 2461 2568 4922 5136 7383 9844 14766 19688 29532 39376 59064 118128 102439829 204879658 307319487 409759316 614638974 819518632 1229277948 1639037264 2356116067 2458555896 4712232134 4917111792 7068348201 9424464268 10961061703 14136696402 18848928536 21922123406 28273392804 32883185109 37697857072 43844246812 56546785608 65766370218 87688493624 113093571216 131532740436 175376987248 252104419169 263065480872 504208838338 526130961744 756313257507 1008417676676 1512626515014 2016835353352 3025253030028 4033670706704 6050506060056 12101012120112