122256240 has 80 divisors (see below), whose sum is σ = 384701568. Its totient is φ = 32110848.

The previous prime is 122256227. The next prime is 122256263. The reversal of 122256240 is 42652221.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122256240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12279 + ... + 19881.

Almost surely, 2^122256240 is an apocalyptic number.

122256240 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 122256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192350784).

122256240 is an abundant number, since it is smaller than the sum of its proper divisors (262445328).

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

122256240 is a wasteful number, since it uses less digits than its factorization.

122256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 122256240 is about 11056.9543727014. The cubic root of 122256240 is about 496.3145550681.

The spelling of 122256240 in words is "one hundred twenty-two million, two hundred fifty-six thousand, two hundred forty".