122455564 has 48 divisors (see below), whose sum is σ = 269047296. Its totient is φ = 47376000.

The previous prime is 122455547. The next prime is 122455577. The reversal of 122455564 is 465554221.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45192 + ... + 47824.

It is an arithmetic number, because the mean of its divisors is an integer number (5605152).

Almost surely, 2^122455564 is an apocalyptic number.

122455564 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 122455564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134523648).

122455564 is an abundant number, since it is smaller than the sum of its proper divisors (146591732).

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

122455564 is a wasteful number, since it uses less digits than its factorization.

122455564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The square root of 122455564 is about 11065.9642146539. The cubic root of 122455564 is about 496.5841355491.

The spelling of 122455564 in words is "one hundred twenty-two million, four hundred fifty-five thousand, five hundred sixty-four".