212213001120 has 96 divisors (see below), whose sum is σ = 672164438400. Its totient is φ = 56277457920.

The previous prime is 212213001109. The next prime is 212213001163. The reversal of 212213001120 is 21100312212.

212213001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212213001120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134420 + ... + 1308179.

It is an arithmetic number, because the mean of its divisors is an integer number (7001712900).

Almost surely, 2^212213001120 is an apocalyptic number.

212213001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213001120 is an abundant number, since it is smaller than the sum of its proper divisors (459951437280).

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

212213001120 is a wasteful number, since it uses less digits than its factorization.

212213001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442798 (or 2442790 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212213001120 its reverse (21100312212), we get a palindrome (233313313332).

The spelling of 212213001120 in words is "two hundred twelve billion, two hundred thirteen million, one thousand, one hundred twenty".