122506566 has 128 divisors (see below), whose sum is σ = 325248000. Its totient is φ = 30481920.

The previous prime is 122506511. The next prime is 122506567. The reversal of 122506566 is 665605221.

It is a happy number.

It is a super-2 number, since 2×122506566² = 30015717426224712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122506567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508206 + ... + 508446.

It is an arithmetic number, because the mean of its divisors is an integer number (2541000).

Almost surely, 2^122506566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122506566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162624000).

122506566 is an abundant number, since it is smaller than the sum of its proper divisors (202741434).

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

122506566 is a wasteful number, since it uses less digits than its factorization.

122506566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 122506566 is about 11068.2684282592. The cubic root of 122506566 is about 496.6530674074.

The spelling of 122506566 in words is "one hundred twenty-two million, five hundred six thousand, five hundred sixty-six".