122646432 has 96 divisors (see below), whose sum is σ = 343429632. Its totient is φ = 38191104.

The previous prime is 122646413. The next prime is 122646437. The reversal of 122646432 is 234646221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122646432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122646437) 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, 363768 + ... + 364104.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392).

Almost surely, 2^122646432 is an apocalyptic number.

122646432 is a gapful number since it is divisible by the number (12) 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 122646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

122646432 is an abundant number, since it is smaller than the sum of its proper divisors (220783200).

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

122646432 is a wasteful number, since it uses less digits than its factorization.

122646432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 122646432 is about 11074.5849583630. The cubic root of 122646432 is about 496.8420054670.

The spelling of 122646432 in words is "one hundred twenty-two million, six hundred forty-six thousand, four hundred thirty-two".