122400040 has 96 divisors (see below), whose sum is σ = 323005320. Its totient is φ = 41620992.

The previous prime is 122400029. The next prime is 122400041. The reversal of 122400040 is 40004221.

It can be written as a sum of positive squares in 4 ways, for example, as 102454884 + 19945156 = 10122^2 + 4466^2 .

It is not an unprimeable number, because it can be changed into a prime (122400041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385962 + ... + 386278.

Almost surely, 2^122400040 is an apocalyptic number.

122400040 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 122400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161502660).

122400040 is an abundant number, since it is smaller than the sum of its proper divisors (200605280).

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

122400040 is a wasteful number, since it uses less digits than its factorization.

122400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 122400040 is about 11063.4551565051. The cubic root of 122400040 is about 496.5090702084.

Adding to 122400040 its reverse (40004221), we get a palindrome (162404261).

The spelling of 122400040 in words is "one hundred twenty-two million, four hundred thousand, forty".