122133520 has 60 divisors (see below), whose sum is σ = 299763180. Its totient is φ = 46271232.

The previous prime is 122133511. The next prime is 122133523. The reversal of 122133520 is 25331221.

It can be written as a sum of positive squares in 2 ways, for example, as 94633984 + 27499536 = 9728^2 + 5244^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (122133523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26766 + ... + 30994.

It is an arithmetic number, because the mean of its divisors is an integer number (4996053).

Almost surely, 2^122133520 is an apocalyptic number.

122133520 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 122133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149881590).

122133520 is an abundant number, since it is smaller than the sum of its proper divisors (177629660).

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

122133520 is a wasteful number, since it uses less digits than its factorization.

122133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 122133520 is about 11051.4035307738. The cubic root of 122133520 is about 496.1484337228.

Adding to 122133520 its reverse (25331221), we get a palindrome (147464741).

The spelling of 122133520 in words is "one hundred twenty-two million, one hundred thirty-three thousand, five hundred twenty".