122855040 has 384 divisors, whose sum is σ = 530824320. Its totient is φ = 25436160.

The previous prime is 122855027. The next prime is 122855041. The reversal of 122855040 is 40558221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 122854995 and 122855013.

It is not an unprimeable number, because it can be changed into a prime (122855041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443382 + ... + 443658.

It is an arithmetic number, because the mean of its divisors is an integer number (1382355).

Almost surely, 2^122855040 is an apocalyptic number.

122855040 is a gapful number since it is divisible by the number (10) 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 122855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265412160).

122855040 is an abundant number, since it is smaller than the sum of its proper divisors (407969280).

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

122855040 is a wasteful number, since it uses less digits than its factorization.

122855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 122855040 is about 11083.9992782389. Note that the first 3 decimals coincide. The cubic root of 122855040 is about 497.1235369877.

The spelling of 122855040 in words is "one hundred twenty-two million, eight hundred fifty-five thousand, forty".