12351873600 has 1008 divisors, whose sum is σ = 52780996800. Its totient is φ = 2797977600.

The previous prime is 12351873559. The next prime is 12351873619. The reversal of 12351873600 is 637815321.

12351873600 is a `hidden beast` number, since 1 + 2 + 35 + 18 + 7 + 3 + 600 = 666.

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, 88862331 + ... + 88862469.

It is an arithmetic number, because the mean of its divisors is an integer number (52362100).

Almost surely, 2^12351873600 is an apocalyptic number.

12351873600 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 12351873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390498400).

12351873600 is an abundant number, since it is smaller than the sum of its proper divisors (40429123200).

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

12351873600 is a wasteful number, since it uses less digits than its factorization.

12351873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12351873600 in words is "twelve billion, three hundred fifty-one million, eight hundred seventy-three thousand, six hundred".