122527020 has 144 divisors (see below), whose sum is σ = 431149824. Its totient is φ = 25449600.

The previous prime is 122526997. The next prime is 122527037. The reversal of 122527020 is 20725221.

It is a happy number.

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

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, 49615 + ... + 52025.

It is an arithmetic number, because the mean of its divisors is an integer number (2994096).

Almost surely, 2^122527020 is an apocalyptic number.

122527020 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 122527020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215574912).

122527020 is an abundant number, since it is smaller than the sum of its proper divisors (308622804).

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

122527020 is a wasteful number, since it uses less digits than its factorization.

122527020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2439 counting only the distinct ones).

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

The square root of 122527020 is about 11069.1923824640. The cubic root of 122527020 is about 496.6807066784.

The spelling of 122527020 in words is "one hundred twenty-two million, five hundred twenty-seven thousand, twenty".