31002112000 has 208 divisors, whose sum is σ = 78078446784. Its totient is φ = 12288000000.

The previous prime is 31002111989. The next prime is 31002112021. The reversal of 31002112000 is 21120013.

It is a super-2 number, since 2×31002112000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77311800 + ... + 77312200.

It is an arithmetic number, because the mean of its divisors is an integer number (375377148).

Almost surely, 2^31002112000 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 31002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39039223392).

31002112000 is an abundant number, since it is smaller than the sum of its proper divisors (47076334784).

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

31002112000 is an equidigital number, since it uses as much as digits as its factorization.

31002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31002112000 its reverse (21120013), we get a palindrome (31023232013).

The spelling of 31002112000 in words is "thirty-one billion, two million, one hundred twelve thousand".