212313121010120 has 128 divisors (see below), whose sum is σ = 519821107999200. Its totient is φ = 77574445203456.

The previous prime is 212313121010051. The next prime is 212313121010149. The reversal of 212313121010120 is 21010121313212.

It can be written as a sum of positive squares in 16 ways, for example, as 3614127979396 + 208698993030724 = 1901086^2 + 14446418^2 .

It is a super-2 number, since 2×212313121010120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212313121010092 and 212313121010101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400077116 + ... + 400607444.

Almost surely, 2^{212313121010120} is an apocalyptic number.

212313121010120 is a gapful number since it is divisible by the number (20) 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 212313121010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259910553999600).

212313121010120 is an abundant number, since it is smaller than the sum of its proper divisors (307507986989080).

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

212313121010120 is a wasteful number, since it uses less digits than its factorization.

212313121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538387 (or 538383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 212313121010120 its reverse (21010121313212), we get a palindrome (233323242323332).

The spelling of 212313121010120 in words is "two hundred twelve trillion, three hundred thirteen billion, one hundred twenty-one million, ten thousand, one hundred twenty".