122527040 has 56 divisors (see below), whose sum is σ = 296597832. Its totient is φ = 48199680.

The previous prime is 122527037. The next prime is 122527057. The reversal of 122527040 is 40725221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13366336 + 109160704 = 3656^2 + 10448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122526997 and 122527015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16382 + ... + 22658.

Almost surely, 2^122527040 is an apocalyptic number.

122527040 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 122527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148298916).

122527040 is an abundant number, since it is smaller than the sum of its proper divisors (174070792).

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

122527040 is an equidigital number, since it uses as much as digits as its factorization.

122527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 122527040 is about 11069.1932858723. The cubic root of 122527040 is about 496.6807337026.

The spelling of 122527040 in words is "one hundred twenty-two million, five hundred twenty-seven thousand, forty".