212311131202000 has 160 divisors (see below), whose sum is σ = 513860559417504. Its totient is φ = 84843053568000.

The previous prime is 212311131201991. The next prime is 212311131202013. The reversal of 212311131202000 is 202131113212.

It can be written as a sum of positive squares in 16 ways, for example, as 197709133784464 + 14601997417536 = 14060908^2 + 3821256^2 .

It is a congruent number.

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, 19104748444 + ... + 19104759556.

Almost surely, 2^{212311131202000} is an apocalyptic number.

212311131202000 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 212311131202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256930279708752).

212311131202000 is an abundant number, since it is smaller than the sum of its proper divisors (301549428215504).

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

212311131202000 is a wasteful number, since it uses less digits than its factorization.

212311131202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19434 (or 19418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212311131202000 its reverse (202131113212), we get a palindrome (212513262315212).

The spelling of 212311131202000 in words is "two hundred twelve trillion, three hundred eleven billion, one hundred thirty-one million, two hundred two thousand".