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12220444125 = 3253293143281
BaseRepresentation
bin10110110000110010…
…10010110111011101
31011112122220212211200
423120121102313131
5200011413203000
65340342310113
7611556026661
oct133031226735
934478825750
1012220444125
1152011385aa
122450728339
1311c9a29436
1483d0028a1
154b7cb7500
hex2d8652ddd

12220444125 has 192 divisors, whose sum is σ = 24156887040. Its totient is φ = 5927040000.

The previous prime is 12220444091. The next prime is 12220444141. The reversal of 12220444125 is 52144402221.

It is a happy number.

12220444125 is a `hidden beast` number, since 12 + 2 + 204 + 441 + 2 + 5 = 666.

It is not a de Polignac number, because 12220444125 - 28 = 12220443869 is a prime.

It is a super-2 number, since 2×122204441252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43488985 + ... + 43489265.

It is an arithmetic number, because the mean of its divisors is an integer number (125817120).

Almost surely, 212220444125 is an apocalyptic number.

12220444125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12220444125 is a deficient number, since it is larger than the sum of its proper divisors (11936442915).

12220444125 is a wasteful number, since it uses less digits than its factorization.

12220444125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12220444125 its reverse (52144402221), we get a palindrome (64364846346).

The spelling of 12220444125 in words is "twelve billion, two hundred twenty million, four hundred forty-four thousand, one hundred twenty-five".