122464440 has 256 divisors, whose sum is σ = 474163200. Its totient is φ = 27537408.

The previous prime is 122464427. The next prime is 122464513. The reversal of 122464440 is 44464221.

It is a happy number.

122464440 is a `hidden beast` number, since 12 + 2 + 4 + 644 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733237 + ... + 733403.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^122464440 is an apocalyptic number.

122464440 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 122464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

122464440 is an abundant number, since it is smaller than the sum of its proper divisors (351698760).

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

122464440 is a wasteful number, since it uses less digits than its factorization.

122464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 122464440 is about 11066.3652569396. The cubic root of 122464440 is about 496.5961333007.

The spelling of 122464440 in words is "one hundred twenty-two million, four hundred sixty-four thousand, four hundred forty".