10120210113312 has 576 divisors, whose sum is σ = 33165175680000. Its totient is φ = 2903481262080.

The previous prime is 10120210113271. The next prime is 10120210113319. The reversal of 10120210113312 is 21331101202101.

10120210113312 is a `hidden beast` number, since 1 + 0 + 120 + 210 + 1 + 1 + 331 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10120210113319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1760339814 + ... + 1760345562.

It is an arithmetic number, because the mean of its divisors is an integer number (57578430000).

Almost surely, 2^{10120210113312} is an apocalyptic number.

10120210113312 is a gapful number since it is divisible by the number (12) 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 10120210113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582587840000).

10120210113312 is an abundant number, since it is smaller than the sum of its proper divisors (23044965566688).

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

10120210113312 is a wasteful number, since it uses less digits than its factorization.

10120210113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10120210113312 its reverse (21331101202101), we get a palindrome (31451311315413).

The spelling of 10120210113312 in words is "ten trillion, one hundred twenty billion, two hundred ten million, one hundred thirteen thousand, three hundred twelve".