211122122000000 has 112 divisors (see below), whose sum is σ = 525736840990110. Its totient is φ = 84448848000000.

The previous prime is 211122121999913. The next prime is 211122122000017. The reversal of 211122122000000 is 221221112.

It can be written as a sum of positive squares in 7 ways, for example, as 135225826424896 + 75896295575104 = 11628664^2 + 8711848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 50780531 + ... + 54780530.

Almost surely, 2^{211122122000000} is an apocalyptic number.

211122122000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122122000000 is an abundant number, since it is smaller than the sum of its proper divisors (314614718990110).

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

211122122000000 is an frugal number, since it uses more digits than its factorization.

211122122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105561105 (or 105561068 counting only the distinct ones).

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

Adding to 211122122000000 its reverse (221221112), we get a palindrome (211122343221112).

The spelling of 211122122000000 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million", and thus it is an aban number.