212102001012000 has 384 divisors, whose sum is σ = 765519124720896. Its totient is φ = 50909568000000.

The previous prime is 212102001011917. The next prime is 212102001012017. The reversal of 212102001012000 is 210100201212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5377380 + ... + 21286620.

It is an arithmetic number, because the mean of its divisors is an integer number (1993539387294).

Almost surely, 2^{212102001012000} is an apocalyptic number.

212102001012000 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 212102001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382759562360448).

212102001012000 is an abundant number, since it is smaller than the sum of its proper divisors (553417123708896).

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

212102001012000 is a wasteful number, since it uses less digits than its factorization.

212102001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15909381 (or 15909363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102001012000 its reverse (210100201212), we get a palindrome (212312101213212).

The spelling of 212102001012000 in words is "two hundred twelve trillion, one hundred two billion, one million, twelve thousand".