122692608 has 66 divisors (see below), whose sum is σ = 354298854. Its totient is φ = 40894464.

The previous prime is 122692589. The next prime is 122692627. The reversal of 122692608 is 806296221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122692589) and next prime (122692627).

It can be written as a sum of positive squares in only one way, i.e., 97772544 + 24920064 = 9888^2 + 4992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2560 + ... + 15872.

Almost surely, 2^122692608 is an apocalyptic number.

122692608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122692608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177149427).

122692608 is an abundant number, since it is smaller than the sum of its proper divisors (231606246).

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

122692608 is a wasteful number, since it uses less digits than its factorization.

122692608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 122692608 is about 11076.6695355599. The cubic root of 122692608 is about 496.9043507997.

The spelling of 122692608 in words is "one hundred twenty-two million, six hundred ninety-two thousand, six hundred eight".