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12121132100 = 22527111574173
BaseRepresentation
bin10110100100111100…
…11100110001000100
31011021202001022100112
423102132130301010
5144311002211400
65322433532152
7606241631360
oct132236346104
934252038315
1012121132100
115160076a50
122423414058
1311b2296b1c
1482db502a0
154ae1eb835
hex2d279cc44

12121132100 has 72 divisors (see below), whose sum is σ = 32793192768. Its totient is φ = 3778012800.

The previous prime is 12121132097. The next prime is 12121132151. The reversal of 12121132100 is 123112121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779387 + ... + 794786.

Almost surely, 212121132100 is an apocalyptic number.

12121132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121132100 is an abundant number, since it is smaller than the sum of its proper divisors (20672060668).

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

12121132100 is a wasteful number, since it uses less digits than its factorization.

12121132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574205 (or 1574198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121132100 its reverse (123112121), we get a palindrome (12244244221).

The spelling of 12121132100 in words is "twelve billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1574173 3148346 6296692 7870865 11019211 15741730 17315903 22038422 31483460 34631806 39354325 44076844 55096055 69263612 78708650 86579515 110192110 121211321 157417300 173159030 220384220 242422642 275480275 346318060 432897575 484845284 550960550 606056605 865795150 1101921100 1212113210 1731590300 2424226420 3030283025 6060566050 12121132100