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12001001021191 = 7131271319787277
BaseRepresentation
bin1010111010100011001101…
…1001110001111100000111
31120111021200101200020201101
42232220303121301330013
53033111022230134231
641305103405240531
72346020664365440
oct256506331617407
946437611606641
1012001001021191
113907661235946
121419a5ab63147
136908c6bc6810
142d6bcc9142c7
1515c290c54661
hexaea33671f07

12001001021191 has 32 divisors (see below), whose sum is σ = 14898070978560. Its totient is φ = 9413377255296.

The previous prime is 12001001021179. The next prime is 12001001021227. The reversal of 12001001021191 is 19112010010021.

It is not a de Polignac number, because 12001001021191 - 213 = 12001001012999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001001021111) 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, 14850045 + ... + 15637321.

It is an arithmetic number, because the mean of its divisors is an integer number (465564718080).

Almost surely, 212001001021191 is an apocalyptic number.

12001001021191 is a deficient number, since it is larger than the sum of its proper divisors (2897069957369).

12001001021191 is a wasteful number, since it uses less digits than its factorization.

12001001021191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788743.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 12001001021191 in words is "twelve trillion, one billion, one million, twenty-one thousand, one hundred ninety-one".

Divisors: 1 7 13 91 127 889 1319 1651 9233 11557 17147 120029 167513 787277 1172591 2177669 5510939 10234601 15243683 71642207 99984179 699889253 1038418363 1299794327 7268928541 9098560289 13499438719 94496071033 131879132101 923153924707 1714428717313 12001001021191