122053520 has 20 divisors (see below), whose sum is σ = 283774620. Its totient is φ = 48821376.

The previous prime is 122053487. The next prime is 122053531. The reversal of 122053520 is 25350221.

It can be written as a sum of positive squares in 2 ways, for example, as 88134544 + 33918976 = 9388^2 + 5824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is a junction number, because it is equal to n+sod(n) for n = 122053492 and 122053501.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762755 + ... + 762914.

It is an arithmetic number, because the mean of its divisors is an integer number (14188731).

Almost surely, 2^122053520 is an apocalyptic number.

122053520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122053520 is an abundant number, since it is smaller than the sum of its proper divisors (161721100).

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

122053520 is a wasteful number, since it uses less digits than its factorization.

122053520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525682 (or 1525676 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 122053520 is about 11047.7834881029. The cubic root of 122053520 is about 496.0400808748.

The spelling of 122053520 in words is "one hundred twenty-two million, fifty-three thousand, five hundred twenty".