122642610320 has 40 divisors (see below), whose sum is σ = 285343875960. Its totient is φ = 49022668800.

The previous prime is 122642610301. The next prime is 122642610329. The reversal of 122642610320 is 23016246221.

It can be written as a sum of positive squares in 4 ways, for example, as 120209296 + 122522401024 = 10964^2 + 350032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×122642610320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122642610329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422081 + ... + 650720.

It is an arithmetic number, because the mean of its divisors is an integer number (7133596899).

Almost surely, 2^122642610320 is an apocalyptic number.

122642610320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122642610320 is an abundant number, since it is smaller than the sum of its proper divisors (162701265640).

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

122642610320 is a wasteful number, since it uses less digits than its factorization.

122642610320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074243 (or 1074237 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 122642610320 its reverse (23016246221), we get a palindrome (145658856541).

The spelling of 122642610320 in words is "one hundred twenty-two billion, six hundred forty-two million, six hundred ten thousand, three hundred twenty".