12916406900250 has 256 divisors, whose sum is σ = 40959107804160. Its totient is φ = 2950861363200.

The previous prime is 12916406900249. The next prime is 12916406900251. The reversal of 12916406900250 is 5200960461921.

12916406900250 is a `hidden beast` number, since 129 + 16 + 406 + 90 + 0 + 25 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12916406900249) and next prime (12916406900251).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12916406900196 and 12916406900205.

It is not an unprimeable number, because it can be changed into a prime (12916406900251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96937674 + ... + 97070826.

It is an arithmetic number, because the mean of its divisors is an integer number (159996514860).

Almost surely, 2^{12916406900250} is an apocalyptic number.

12916406900250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12916406900250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479553902080).

12916406900250 is an abundant number, since it is smaller than the sum of its proper divisors (28042700903910).

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

12916406900250 is a wasteful number, since it uses less digits than its factorization.

12916406900250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135239 (or 135223 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12916406900250 in words is "twelve trillion, nine hundred sixteen billion, four hundred six million, nine hundred thousand, two hundred fifty".