31010120112000 has 512 divisors, whose sum is σ = 105304348131840. Its totient is φ = 8068214784000.

The previous prime is 31010120111969. The next prime is 31010120112031. The reversal of 31010120112000 is 21102101013.

It is an interprime number because it is at equal distance from previous prime (31010120111969) and next prime (31010120112031).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2004136264 + ... + 2004151736.

It is an arithmetic number, because the mean of its divisors is an integer number (205672554945).

Almost surely, 2^{31010120112000} is an apocalyptic number.

31010120112000 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 31010120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52652174065920).

31010120112000 is an abundant number, since it is smaller than the sum of its proper divisors (74294228019840).

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

31010120112000 is a wasteful number, since it uses less digits than its factorization.

31010120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16519 (or 16497 counting only the distinct ones).

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

Adding to 31010120112000 its reverse (21102101013), we get a palindrome (31031222213013).

The spelling of 31010120112000 in words is "thirty-one trillion, ten billion, one hundred twenty million, one hundred twelve thousand".