122135920 has 40 divisors (see below), whose sum is σ = 284937120. Its totient is φ = 48687360.

The previous prime is 122135891. The next prime is 122135929. The reversal of 122135920 is 29531221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122135929) 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, 22426 + ... + 27334.

It is an arithmetic number, because the mean of its divisors is an integer number (7123428).

Almost surely, 2^122135920 is an apocalyptic number.

122135920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122135920 is an abundant number, since it is smaller than the sum of its proper divisors (162801200).

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

122135920 is a wasteful number, since it uses less digits than its factorization.

122135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 122135920 is about 11051.5121137336. The cubic root of 122135920 is about 496.1516835771.

The spelling of 122135920 in words is "one hundred twenty-two million, one hundred thirty-five thousand, nine hundred twenty".