212011000012120 has 64 divisors (see below), whose sum is σ = 492693547357440. Its totient is φ = 82021957171200.

The previous prime is 212011000012111. The next prime is 212011000012129. The reversal of 212011000012120 is 21210000110212.

It is an interprime number because it is at equal distance from previous prime (212011000012111) and next prime (212011000012129).

It is a super-2 number, since 2×212011000012120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212011000012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011000012129) by changing a digit.

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, 46593141 + ... + 50940580.

It is an arithmetic number, because the mean of its divisors is an integer number (7698336677460).

Almost surely, 2^{212011000012120} is an apocalyptic number.

212011000012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011000012120 is an abundant number, since it is smaller than the sum of its proper divisors (280682547345320).

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

212011000012120 is a wasteful number, since it uses less digits than its factorization.

212011000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97535516 (or 97535512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212011000012120 its reverse (21210000110212), we get a palindrome (233221000122332).

The spelling of 212011000012120 in words is "two hundred twelve trillion, eleven billion, twelve thousand, one hundred twenty".