212210210000120 has 256 divisors, whose sum is σ = 504424076486400. Its totient is φ = 80240335257600.

The previous prime is 212210210000093. The next prime is 212210210000143. The reversal of 212210210000120 is 21000012012212.

It is a junction number, because it is equal to n+sod(n) for n = 212210210000095 and 212210210000104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3776155862 + ... + 3776212058.

It is an arithmetic number, because the mean of its divisors is an integer number (1970406548775).

Almost surely, 2^{212210210000120} is an apocalyptic number.

212210210000120 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 212210210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252212038243200).

212210210000120 is an abundant number, since it is smaller than the sum of its proper divisors (292213866486280).

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

212210210000120 is a wasteful number, since it uses less digits than its factorization.

212210210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56698 (or 56694 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212210210000120 its reverse (21000012012212), we get a palindrome (233210222012332).

The spelling of 212210210000120 in words is "two hundred twelve trillion, two hundred ten billion, two hundred ten million, one hundred twenty", and thus it is an aban number.