122626465407 has 16 divisors (see below), whose sum is σ = 181683772000. Its totient is φ = 81744256512.

The previous prime is 122626465399. The next prime is 122626465421. The reversal of 122626465407 is 704564626221.

122626465407 is a `hidden beast` number, since 1 + 2 + 2 + 62 + 6 + 46 + 540 + 7 = 666.

It is not a de Polignac number, because 122626465407 - 2³ = 122626465399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122626465447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159519 + ... + 520287.

It is an arithmetic number, because the mean of its divisors is an integer number (11355235750).

Almost surely, 2^122626465407 is an apocalyptic number.

122626465407 is a deficient number, since it is larger than the sum of its proper divisors (59057306593).

122626465407 is a wasteful number, since it uses less digits than its factorization.

122626465407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373367 (or 373361 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 122626465407 in words is "one hundred twenty-two billion, six hundred twenty-six million, four hundred sixty-five thousand, four hundred seven".