122921604 has 96 divisors (see below), whose sum is σ = 355152000. Its totient is φ = 36505728.

The previous prime is 122921599. The next prime is 122921609. The reversal of 122921604 is 406129221.

122921604 is a `hidden beast` number, since 12 + 29 + 21 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (122921599) and next prime (122921609).

It is a super-3 number, since 3×122921604³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122921609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39207 + ... + 42225.

It is an arithmetic number, because the mean of its divisors is an integer number (3699500).

Almost surely, 2^122921604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122921604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177576000).

122921604 is an abundant number, since it is smaller than the sum of its proper divisors (232230396).

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

122921604 is a wasteful number, since it uses less digits than its factorization.

122921604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122921604 is about 11087.0015784251. The cubic root of 122921604 is about 497.2133028252.

The spelling of 122921604 in words is "one hundred twenty-two million, nine hundred twenty-one thousand, six hundred four".