122312221324320 has 96 divisors (see below), whose sum is σ = 389098185416640. Its totient is φ = 32293655782400.

The previous prime is 122312221324303. The next prime is 122312221324331. The reversal of 122312221324320 is 23423122213221.

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 (30).

It is an unprimeable number.

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, 1261422450 + ... + 1261519409.

It is an arithmetic number, because the mean of its divisors is an integer number (4053106098090).

Almost surely, 2^{122312221324320} is an apocalyptic number.

122312221324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312221324320 is an abundant number, since it is smaller than the sum of its proper divisors (266785964092320).

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

122312221324320 is a wasteful number, since it uses less digits than its factorization.

122312221324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522941978 (or 2522941970 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122312221324320 its reverse (23423122213221), we get a palindrome (145735343537541).

The spelling of 122312221324320 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred twenty-one million, three hundred twenty-four thousand, three hundred twenty".