212012013120000 has 400 divisors, whose sum is σ = 709448208152640. Its totient is φ = 56243552256000.

The previous prime is 212012013119993. The next prime is 212012013120007. The reversal of 212012013120000 is 21310210212.

It is an interprime number because it is at equal distance from previous prime (212012013119993) and next prime (212012013120007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212012013120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184707861 + ... + 185852139.

Almost surely, 2^{212012013120000} is an apocalyptic number.

212012013120000 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 212012013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354724104076320).

212012013120000 is an abundant number, since it is smaller than the sum of its proper divisors (497436195032640).

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

212012013120000 is an equidigital number, since it uses as much as digits as its factorization.

212012013120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144513 (or 1144482 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212012013120000 its reverse (21310210212), we get a palindrome (212033323330212).

The spelling of 212012013120000 in words is "two hundred twelve trillion, twelve billion, thirteen million, one hundred twenty thousand".