122112212064 has 48 divisors (see below), whose sum is σ = 320565288960. Its totient is φ = 40701438080.

The previous prime is 122112212063. The next prime is 122112212153. The reversal of 122112212064 is 460212211221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122112212064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112212063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1950529 + ... + 2012159.

It is an arithmetic number, because the mean of its divisors is an integer number (6678443520).

Almost surely, 2^122112212064 is an apocalyptic number.

It is an amenable number.

122112212064 is an abundant number, since it is smaller than the sum of its proper divisors (198453076896).

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

122112212064 is a wasteful number, since it uses less digits than its factorization.

122112212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82283 (or 82275 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 122112212064 its reverse (460212211221), we get a palindrome (582324423285).

The spelling of 122112212064 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand, sixty-four".