122400240 has 80 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 32479488.

The previous prime is 122400217. The next prime is 122400241. The reversal of 122400240 is 42004221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52377 + ... + 54663.

Almost surely, 2^122400240 is an apocalyptic number.

122400240 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 122400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

122400240 is an abundant number, since it is smaller than the sum of its proper divisors (258908688).

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

122400240 is a wasteful number, since it uses less digits than its factorization.

122400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 122400240 is about 11063.4641952690. The cubic root of 122400240 is about 496.5093406380.

Adding to 122400240 its reverse (42004221), we get a palindrome (164404461).

The spelling of 122400240 in words is "one hundred twenty-two million, four hundred thousand, two hundred forty".