122057040 has 240 divisors, whose sum is σ = 448846272. Its totient is φ = 27353088.

The previous prime is 122057011. The next prime is 122057053. The reversal of 122057040 is 40750221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122056998 and 122057016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140667 + ... + 1140773.

Almost surely, 2^122057040 is an apocalyptic number.

122057040 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 122057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

122057040 is an abundant number, since it is smaller than the sum of its proper divisors (326789232).

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

122057040 is a wasteful number, since it uses less digits than its factorization.

122057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 122057040 is about 11047.9427949279. The cubic root of 122057040 is about 496.0448493958.

The spelling of 122057040 in words is "one hundred twenty-two million, fifty-seven thousand, forty".