122042520 has 96 divisors (see below), whose sum is σ = 398455200. Its totient is φ = 32395776.

The previous prime is 122042509. The next prime is 122042561. The reversal of 122042520 is 25240221.

122042520 = 883² + 884² + ... + 1017².

122042520 is a `hidden beast` number, since 1 + 220 + 425 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122042493 and 122042502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94036 + ... + 95324.

It is an arithmetic number, because the mean of its divisors is an integer number (4150575).

Almost surely, 2^122042520 is an apocalyptic number.

122042520 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 122042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199227600).

122042520 is an abundant number, since it is smaller than the sum of its proper divisors (276412680).

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

122042520 is a wasteful number, since it uses less digits than its factorization.

122042520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122042520 is about 11047.2856394682. The cubic root of 122042520 is about 496.0251786559.

Adding to 122042520 its reverse (25240221), we get a palindrome (147282741).

The spelling of 122042520 in words is "one hundred twenty-two million, forty-two thousand, five hundred twenty".