212002013100000 has 288 divisors, whose sum is σ = 695639532157920. Its totient is φ = 56529607680000.

The previous prime is 212002013099993. The next prime is 212002013100047. The reversal of 212002013100000 is 1310200212.

It is a super-2 number, since 2×212002013100000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7466685804 + ... + 7466714196.

It is an arithmetic number, because the mean of its divisors is an integer number (2415415042215).

Almost surely, 2^{212002013100000} is an apocalyptic number.

212002013100000 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 212002013100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347819766078960).

212002013100000 is an abundant number, since it is smaller than the sum of its proper divisors (483637519057920).

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

212002013100000 is an equidigital number, since it uses as much as digits as its factorization.

212002013100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53320 (or 53292 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212002013100000 its reverse (1310200212), we get a palindrome (212003323300212).

The spelling of 212002013100000 in words is "two hundred twelve trillion, two billion, thirteen million, one hundred thousand".