122520240 has 60 divisors (see below), whose sum is σ = 411466224. Its totient is φ = 32671872.

The previous prime is 122520193. The next prime is 122520247. The reversal of 122520240 is 42025221.

122520240 is a `hidden beast` number, since 122 + 520 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×122520240² = 30022418419315200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122520247) 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, 84364 + ... + 85803.

Almost surely, 2^122520240 is an apocalyptic number.

122520240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122520240 is an abundant number, since it is smaller than the sum of its proper divisors (288945984).

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

122520240 is a wasteful number, since it uses less digits than its factorization.

122520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170186 (or 170177 counting only the distinct ones).

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

The square root of 122520240 is about 11068.8861228219. The cubic root of 122520240 is about 496.6715452779.

Adding to 122520240 its reverse (42025221), we get a palindrome (164545461).

It can be divided in two parts, 122520 and 240, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 122520240 in words is "one hundred twenty-two million, five hundred twenty thousand, two hundred forty".