212211211202120 has 64 divisors (see below), whose sum is σ = 514324827576000. Its totient is φ = 78336510444288.

The previous prime is 212211211202117. The next prime is 212211211202143. The reversal of 212211211202120 is 21202112112212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212211211202092 and 212211211202101.

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 15 ways as a sum of consecutive naturals, for example, 45695450 + ... + 50124809.

It is an arithmetic number, because the mean of its divisors is an integer number (8036325430875).

Almost surely, 2^{212211211202120} is an apocalyptic number.

212211211202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211211202120 is an abundant number, since it is smaller than the sum of its proper divisors (302113616373880).

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

212211211202120 is a wasteful number, since it uses less digits than its factorization.

212211211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95824542 (or 95824538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212211211202120 its reverse (21202112112212), we get a palindrome (233413323314332).

The spelling of 212211211202120 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred eleven million, two hundred two thousand, one hundred twenty".