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12048557222100 = 2235272819629743
BaseRepresentation
bin1010111101010100010111…
…1110010010100011010100
31120122211102200001120012210
42233111011332102203110
53034400421122101400
641343010351513420
72352323323414500
oct257250576224324
946584380046183
1012048557222100
1139258454a0523
121427111528870
13695235583a79
142d9220863300
1515d625cc0950
hexaf545f928d4

12048557222100 has 108 divisors (see below), whose sum is σ = 40552001214144. Its totient is φ = 2753955933120.

The previous prime is 12048557222059. The next prime is 12048557222101. The reversal of 12048557222100 is 122275584021.

It is a super-2 number, since 2×120485572221002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12048557222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409800172 + ... + 409829571.

Almost surely, 212048557222100 is an apocalyptic number.

12048557222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12048557222100 is an abundant number, since it is smaller than the sum of its proper divisors (28503443992044).

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

12048557222100 is a wasteful number, since it uses less digits than its factorization.

12048557222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819629774 (or 819629760 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 12048557222100 in words is "twelve trillion, forty-eight billion, five hundred fifty-seven million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 819629743 1639259486 2458889229 3278518972 4098148715 4917778458 5737408201 8196297430 9835556916 11474816402 12294446145 16392594860 17212224603 20490743575 22949632804 24588892290 28687041005 34424449206 40161857407 40981487150 49177784580 57374082010 61472230725 68848898412 80323714814 81962974300 86061123015 114748164020 120485572221 122944461450 143435205025 160647429628 172122246030 200809287035 240971144442 245888922900 286870410050 344244492060 401618574070 430305615075 481942288884 573740820100 602427861105 803237148140 860611230150 1004046435175 1204855722210 1721222460300 2008092870350 2409711444420 3012139305525 4016185740700 6024278611050 12048557222100