122065664 has 108 divisors (see below), whose sum is σ = 292202064. Its totient is φ = 50706432.

The previous prime is 122065663. The next prime is 122065679. The reversal of 122065664 is 466560221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122065664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122065663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463997 + ... + 464259.

Almost surely, 2^122065664 is an apocalyptic number.

122065664 is a gapful number since it is divisible by the number (14) 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 122065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146101032).

122065664 is an abundant number, since it is smaller than the sum of its proper divisors (170136400).

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

122065664 is an equidigital number, since it uses as much as digits as its factorization.

122065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 122065664 is about 11048.3330869412. Note that the first 3 decimals coincide. The cubic root of 122065664 is about 496.0565318846.

The spelling of 122065664 in words is "one hundred twenty-two million, sixty-five thousand, six hundred sixty-four".