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12222131100 = 2235242179661
BaseRepresentation
bin10110110000111111…
…01110101110011100
31011112210002120221020
423120133232232130
5200012331143400
65340442404140
7611606254164
oct133037565634
934483076836
1012222131100
11520208aaa3
122451200650
1311ca19a24a
1483d3215a4
154b7eec2a0
hex2d87eeb9c

12222131100 has 72 divisors (see below), whose sum is σ = 35374746288. Its totient is φ = 3258124800.

The previous prime is 12222131071. The next prime is 12222131107. The reversal of 12222131100 is 113122221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12222131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222131107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260270 + ... + 1269930.

Almost surely, 212222131100 is an apocalyptic number.

12222131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222131100 is an abundant number, since it is smaller than the sum of its proper divisors (23152615188).

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

12222131100 is a wasteful number, since it uses less digits than its factorization.

12222131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13895 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12222131100 its reverse (113122221), we get a palindrome (12335253321).

The spelling of 12222131100 in words is "twelve billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4217 8434 9661 12651 16868 19322 21085 25302 28983 38644 42170 48305 50604 57966 63255 84340 96610 105425 115932 126510 144915 193220 210850 241525 253020 289830 316275 421700 483050 579660 632550 724575 966100 1265100 1449150 2898300 40740437 81480874 122221311 162961748 203702185 244442622 407404370 488885244 611106555 814808740 1018510925 1222213110 2037021850 2444426220 3055532775 4074043700 6111065550 12222131100