31152000000 has 616 divisors, whose sum is σ = 115142276160. Its totient is φ = 7424000000.

The previous prime is 31151999987. The next prime is 31152000001. The reversal of 31152000000 is 25113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 31152000000.

It is not an unprimeable number, because it can be changed into a prime (31152000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 527999971 + ... + 528000029.

Almost surely, 2^31152000000 is an apocalyptic number.

31152000000 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 31152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57571138080).

31152000000 is an abundant number, since it is smaller than the sum of its proper divisors (83990276160).

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

31152000000 is an frugal number, since it uses more digits than its factorization.

31152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 31152000000 its reverse (25113), we get a palindrome (31152025113).

The spelling of 31152000000 in words is "thirty-one billion, one hundred fifty-two million", and thus it is an aban number.