122826240 has 160 divisors (see below), whose sum is σ = 436534560. Its totient is φ = 32735232.

The previous prime is 122826239. The next prime is 122826251. The reversal of 122826240 is 42628221.

It is a happy number.

122826240 is a `hidden beast` number, since 12 + 28 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68232 + ... + 70008.

It is an arithmetic number, because the mean of its divisors is an integer number (2728341).

Almost surely, 2^122826240 is an apocalyptic number.

122826240 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 122826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218267280).

122826240 is an abundant number, since it is smaller than the sum of its proper divisors (313708320).

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

122826240 is an equidigital number, since it uses as much as digits as its factorization.

122826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 122826240 is about 11082.7000320319. The cubic root of 122826240 is about 497.0846882850.

The spelling of 122826240 in words is "one hundred twenty-two million, eight hundred twenty-six thousand, two hundred forty".