231286123200 has 672 divisors, whose sum is σ = 868624404480. Its totient is φ = 53331660800.

The previous prime is 231286123157. The next prime is 231286123217. The reversal of 231286123200 is 2321682132.

231286123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275668381 + ... + 275669219.

It is an arithmetic number, because the mean of its divisors is an integer number (1292595840).

Almost surely, 2^231286123200 is an apocalyptic number.

231286123200 is a gapful number since it is divisible by the number (20) 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 231286123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434312202240).

231286123200 is an abundant number, since it is smaller than the sum of its proper divisors (637338281280).

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

231286123200 is a wasteful number, since it uses less digits than its factorization.

231286123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 231286123200 in words is "two hundred thirty-one billion, two hundred eighty-six million, one hundred twenty-three thousand, two hundred".