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12907485000 = 233354234157
BaseRepresentation
bin11000000010101100…
…01001011101001000
31020022112201011202000
430001112021131020
5202413304010000
65532444111000
7634600545414
oct140126113510
936275634660
1012907485000
115523a36583
122602835460
1312a917c0b7
148a6365d44
1550827a000
hex301589748

12907485000 has 320 divisors, whose sum is σ = 46762531200. Its totient is φ = 3291552000.

The previous prime is 12907484971. The next prime is 12907485037. The reversal of 12907485000 is 58470921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3102922 + ... + 3107078.

It is an arithmetic number, because the mean of its divisors is an integer number (146132910).

Almost surely, 212907485000 is an apocalyptic number.

12907485000 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 12907485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381265600).

12907485000 is an abundant number, since it is smaller than the sum of its proper divisors (33855046200).

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

12907485000 is a wasteful number, since it uses less digits than its factorization.

12907485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12907485000 in words is "twelve billion, nine hundred seven million, four hundred eighty-five thousand".