212313606420000 has 240 divisors, whose sum is σ = 697507619764032. Its totient is φ = 56529444480000.

The previous prime is 212313606419953. The next prime is 212313606420007. The reversal of 212313606420000 is 24606313212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 212313606420000.

It is not an unprimeable number, because it can be changed into a prime (212313606420007) 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, 36085410 + ... + 41554590.

Almost surely, 2^{212313606420000} is an apocalyptic number.

212313606420000 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 212313606420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348753809882016).

212313606420000 is an abundant number, since it is smaller than the sum of its proper divisors (485194013344032).

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

212313606420000 is an equidigital number, since it uses as much as digits as its factorization.

212313606420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469861 (or 5469838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 212313606420000 in words is "two hundred twelve trillion, three hundred thirteen billion, six hundred six million, four hundred twenty thousand".