212020130131200 has 324 divisors, whose sum is σ = 758308251480780. Its totient is φ = 56517187829760.

The previous prime is 212020130131177. The next prime is 212020130131223. The reversal of 212020130131200 is 2131031020212.

212020130131200 is a `hidden beast` number, since 2 + 1 + 202 + 0 + 130 + 131 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (212020130131177) and next prime (212020130131223).

It can be written as a sum of positive squares in 6 ways, for example, as 1911162472704 + 210108967658496 = 1382448^2 + 14495136^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 150961806 + ... + 152359794.

Almost surely, 2^{212020130131200} is an apocalyptic number.

212020130131200 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 212020130131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379154125740390).

212020130131200 is an abundant number, since it is smaller than the sum of its proper divisors (546288121349580).

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

212020130131200 is a wasteful number, since it uses less digits than its factorization.

212020130131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400654 (or 1400632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212020130131200 its reverse (2131031020212), we get a palindrome (214151161151412).

The spelling of 212020130131200 in words is "two hundred twelve trillion, twenty billion, one hundred thirty million, one hundred thirty-one thousand, two hundred".