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12220200252 = 22321326111539
BaseRepresentation
bin10110110000110000…
…10111010100111100
31011112122110111022100
423120120113110330
5200011332402002
65340333145100
7611553662661
oct133030272474
934478414270
1012220200252
115200a91357
12245062b190
1311c9972430
1483cd7ba68
154b7c6a11c
hex2d861753c

12220200252 has 36 divisors (see below), whose sum is σ = 33266101960. Its totient is φ = 3760061472.

The previous prime is 12220200193. The next prime is 12220200259. The reversal of 12220200252 is 25200202221.

12220200252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220200259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13055302 + ... + 13056237.

Almost surely, 212220200252 is an apocalyptic number.

12220200252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220200252 is an abundant number, since it is smaller than the sum of its proper divisors (21045901708).

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

12220200252 is a wasteful number, since it uses less digits than its factorization.

12220200252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26111562 (or 26111557 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12220200252 its reverse (25200202221), we get a palindrome (37420402473).

The spelling of 12220200252 in words is "twelve billion, two hundred twenty million, two hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 26111539 52223078 78334617 104446156 156669234 235003851 313338468 339450007 470007702 678900014 940015404 1018350021 1357800028 2036700042 3055050063 4073400084 6110100126 12220200252