312332103000 has 192 divisors, whose sum is σ = 1056454233120. Its totient is φ = 83227680000.

The previous prime is 312332102987. The next prime is 312332103023. The reversal of 312332103000 is 301233213.

312332103000 is a `hidden beast` number, since 31 + 2 + 332 + 1 + 0 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13047042 + ... + 13070958.

Almost surely, 2^312332103000 is an apocalyptic number.

312332103000 is a gapful number since it is divisible by the number (30) 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 312332103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528227116560).

312332103000 is an abundant number, since it is smaller than the sum of its proper divisors (744122130120).

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

312332103000 is a wasteful number, since it uses less digits than its factorization.

312332103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25395 (or 25378 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312332103000 its reverse (301233213), we get a palindrome (312633336213).

The spelling of 312332103000 in words is "three hundred twelve billion, three hundred thirty-two million, one hundred three thousand".