122407040 has 128 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 41361408.

The previous prime is 122407039. The next prime is 122407073. The reversal of 122407040 is 40704221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398567 + ... + 398873.

It is an arithmetic number, because the mean of its divisors is an integer number (2650725).

Almost surely, 2^122407040 is an apocalyptic number.

122407040 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 122407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

122407040 is an abundant number, since it is smaller than the sum of its proper divisors (216885760).

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

122407040 is an equidigital number, since it uses as much as digits as its factorization.

122407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 122407040 is about 11063.7715088481. The cubic root of 122407040 is about 496.5185350671.

The spelling of 122407040 in words is "one hundred twenty-two million, four hundred seven thousand, forty".