312532000000 has 252 divisors, whose sum is σ = 850804109568. Its totient is φ = 113632000000.

The previous prime is 312531999973. The next prime is 312532000019. The reversal of 312532000000 is 235213.

It is a sliding number, since 312532000000 = 32000000 + 312500000000 and 1/32000000 + 1/312500000000 = 0.0000000312532000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43996449 + ... + 44003551.

It is an arithmetic number, because the mean of its divisors is an integer number (3376206784).

Almost surely, 2^312532000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425402054784).

312532000000 is an abundant number, since it is smaller than the sum of its proper divisors (538272109568).

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

312532000000 is an frugal number, since it uses more digits than its factorization.

312532000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 312532000000 its reverse (235213), we get a palindrome (312532235213).

It can be divided in two parts, 3125 and 32000000, that multiplied together give a 11-th power (100000000000 = 10¹¹).

The spelling of 312532000000 in words is "three hundred twelve billion, five hundred thirty-two million", and thus it is an aban number.