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12390925120 = 265729535961
BaseRepresentation
bin10111000101000111…
…01000001101000000
31011222112201012210121
423202203220031000
5200334034100440
65405312310024
7616026061060
oct134243501500
934875635717
1012390925120
115289399492
122499842314
131226149672
148578dd3a0
154c7c4034a
hex2e28e8340

12390925120 has 448 divisors, whose sum is σ = 36736934400. Its totient is φ = 3891363840.

The previous prime is 12390925117. The next prime is 12390925123. The reversal of 12390925120 is 2152909321.

It is an interprime number because it is at equal distance from previous prime (12390925117) and next prime (12390925123).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12390925123) 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 63 ways as a sum of consecutive naturals, for example, 203129890 + ... + 203129950.

Almost surely, 212390925120 is an apocalyptic number.

12390925120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12390925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368467200).

12390925120 is an abundant number, since it is smaller than the sum of its proper divisors (24346009280).

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

12390925120 is a wasteful number, since it uses less digits than its factorization.

12390925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 12390925120 in words is "twelve billion, three hundred ninety million, nine hundred twenty-five thousand, one hundred twenty".