212220112122000 has 240 divisors, whose sum is σ = 761246927820912. Its totient is φ = 55062515404800.

The previous prime is 212220112121989. The next prime is 212220112122047. The reversal of 212220112122000 is 221211022212.

It is a happy number.

212220112122000 is a `hidden beast` number, since 2 + 122 + 201 + 121 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7548404574096 + 204671707547904 = 2747436^2 + 14306352^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 158658409 + ... + 159990408.

Almost surely, 2^{212220112122000} is an apocalyptic number.

212220112122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220112122000 is an abundant number, since it is smaller than the sum of its proper divisors (549026815698912).

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

212220112122000 is a wasteful number, since it uses less digits than its factorization.

212220112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318648883 (or 318648864 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220112122000 its reverse (221211022212), we get a palindrome (212441323144212).

The spelling of 212220112122000 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand".