122312211120 has 180 divisors, whose sum is σ = 451502539488. Its totient is φ = 29651424000.

The previous prime is 122312211113. The next prime is 122312211163. The reversal of 122312211120 is 21112213221.

122312211120 is a `hidden beast` number, since 1 + 22 + 312 + 211 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 122312211093 and 122312211102.

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 35 ways as a sum of consecutive naturals, for example, 614856 + ... + 789095.

Almost surely, 2^122312211120 is an apocalyptic number.

122312211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312211120 is an abundant number, since it is smaller than the sum of its proper divisors (329190328368).

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

122312211120 is a wasteful number, since it uses less digits than its factorization.

122312211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403992 (or 1403972 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122312211120 its reverse (21112213221), we get a palindrome (143424424341).

The spelling of 122312211120 in words is "one hundred twenty-two billion, three hundred twelve million, two hundred eleven thousand, one hundred twenty".