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12222232100 = 2252132723209
BaseRepresentation
bin10110110001000000…
…00111011000100100
31011112210021201110222
423120200013120210
5200012342411400
65340444503512
7611610154511
oct133040073044
934483251428
1012222232100
115202149971
12245124ab98
1311ca204200
1483d34a308
154b801c185
hex2d8807624

12222232100 has 54 divisors (see below), whose sum is σ = 28719392310. Its totient is φ = 4512817920.

The previous prime is 12222232063. The next prime is 12222232103. The reversal of 12222232100 is 123222221.

It can be written as a sum of positive squares in 9 ways, for example, as 7116272164 + 5105959936 = 84358^2 + 71456^2 .

It is not an unprimeable number, because it can be changed into a prime (12222232103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 344705 + ... + 378504.

Almost surely, 212222232100 is an apocalyptic number.

12222232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222232100 is an abundant number, since it is smaller than the sum of its proper divisors (16497160210).

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

12222232100 is a wasteful number, since it uses less digits than its factorization.

12222232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723249 (or 723229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12222232100 its reverse (123222221), we get a palindrome (12345454321).

It can be divided in two parts, 1222 and 2232100, that added together give a palindrome (2233322).

The spelling of 12222232100 in words is "twelve billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 723209 1446418 2892836 3616045 7232090 9401717 14464180 18080225 18803434 36160450 37606868 47008585 72320900 94017170 122222321 188034340 235042925 244444642 470085850 488889284 611111605 940171700 1222223210 2444446420 3055558025 6111116050 12222232100