212000012202000 has 320 divisors, whose sum is σ = 748276844859648. Its totient is φ = 51211041280000.

The previous prime is 212000012201977. The next prime is 212000012202073. The reversal of 212000012202000 is 202210000212.

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

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 63 ways as a sum of consecutive naturals, for example, 12830482 + ... + 24261518.

Almost surely, 2^{212000012202000} is an apocalyptic number.

212000012202000 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 212000012202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374138422429824).

212000012202000 is an abundant number, since it is smaller than the sum of its proper divisors (536276832657648).

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

212000012202000 is a wasteful number, since it uses less digits than its factorization.

212000012202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431355 (or 11431339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212000012202000 its reverse (202210000212), we get a palindrome (212202222202212).

The spelling of 212000012202000 in words is "two hundred twelve trillion, twelve million, two hundred two thousand".