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12020112112001 = 72171923127260003
BaseRepresentation
bin1010111011101010011010…
…0000110011100110000001
31120120010000021120020210112
42232322212200303212001
53033414142200041001
641321544022241105
72350265404105400
oct256724640634601
946503007506715
1012020112112001
113914778a18274
1214216b3286195
1369265138bc86
142d7ac2b29637
1515ca0d934cbb
hexaeea6833981

12020112112001 has 96 divisors (see below), whose sum is σ = 16389986549760. Its totient is φ = 8717896180224.

The previous prime is 12020112111983. The next prime is 12020112112049. The reversal of 12020112112001 is 10021121102021.

It is not a de Polignac number, because 12020112112001 - 218 = 12020111849857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12020112111001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46100666 + ... + 46360668.

It is an arithmetic number, because the mean of its divisors is an integer number (170729026560).

Almost surely, 212020112112001 is an apocalyptic number.

It is an amenable number.

12020112112001 is a deficient number, since it is larger than the sum of its proper divisors (4369874437759).

12020112112001 is a wasteful number, since it uses less digits than its factorization.

12020112112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260203 (or 260196 counting only the distinct ones).

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

Adding to 12020112112001 its reverse (10021121102021), we get a palindrome (22041233214022).

The spelling of 12020112112001 in words is "twelve trillion, twenty billion, one hundred twelve million, one hundred twelve thousand, one".

Divisors: 1 7 17 19 23 49 119 127 133 161 323 391 437 833 889 931 1127 2159 2261 2413 2737 2921 3059 6223 7429 15113 15827 16891 19159 20447 21413 41021 49657 52003 55499 105791 118237 143129 260003 287147 347599 364021 388493 943483 1820021 2010029 2433193 2719451 4420051 4940057 5980069 6604381 12740147 30940357 33020381 34580399 41860483 46230667 83980969 101661173 113621311 216582499 231142667 242062793 293023381 561346477 587866783 627387239 711628211 759468763 795349177 1617998669 1931562287 3929425339 4115067481 4391710673 4981397477 5316281341 5567444239 10665583063 12910968971 13520936009 14429906497 27505977373 30741974711 37213969387 74659081441 90376782797 94646552063 101009345479 245308410449 522613570087 632637479579 707065418353 1717158873143 12020112112001