122065440 has 192 divisors, whose sum is σ = 465502464. Its totient is φ = 26247168.

The previous prime is 122065421. The next prime is 122065451. The reversal of 122065440 is 44560221.

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 122065440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56052 + ... + 58188.

It is an arithmetic number, because the mean of its divisors is an integer number (2424492).

Almost surely, 2^122065440 is an apocalyptic number.

122065440 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 122065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232751232).

122065440 is an abundant number, since it is smaller than the sum of its proper divisors (343437024).

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

122065440 is a wasteful number, since it uses less digits than its factorization.

122065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

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

The square root of 122065440 is about 11048.3229496607. The cubic root of 122065440 is about 496.0562284503.

The spelling of 122065440 in words is "one hundred twenty-two million, sixty-five thousand, four hundred forty".