12149373600 has 864 divisors, whose sum is σ = 55108347840. Its totient is φ = 2560481280.

The previous prime is 12149373563. The next prime is 12149373619. The reversal of 12149373600 is 637394121.

12149373600 is a `hidden beast` number, since 1 + 2 + 1 + 49 + 3 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13758759 + ... + 13759641.

It is an arithmetic number, because the mean of its divisors is an integer number (63782810).

Almost surely, 2^12149373600 is an apocalyptic number.

12149373600 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 12149373600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554173920).

12149373600 is an abundant number, since it is smaller than the sum of its proper divisors (42958974240).

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

12149373600 is a wasteful number, since it uses less digits than its factorization.

12149373600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12149373600 in words is "twelve billion, one hundred forty-nine million, three hundred seventy-three thousand, six hundred".