12601670400 has 324 divisors, whose sum is σ = 49152088440. Its totient is φ = 3054796800.

The previous prime is 12601670387. The next prime is 12601670413. The reversal of 12601670400 is 407610621.

12601670400 is a `hidden beast` number, since 12 + 601 + 6 + 7 + 0 + 40 + 0 = 666.

12601670400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12601670387) and next prime (12601670413).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 623656 + ... + 643544.

Almost surely, 2^12601670400 is an apocalyptic number.

12601670400 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 12601670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576044220).

12601670400 is an abundant number, since it is smaller than the sum of its proper divisors (36550418040).

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

12601670400 is a wasteful number, since it uses less digits than its factorization.

12601670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932 (or 19910 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12601670400 in words is "twelve billion, six hundred one million, six hundred seventy thousand, four hundred".