122554368 has 144 divisors (see below), whose sum is σ = 363062700. Its totient is φ = 39813120.

The previous prime is 122554361. The next prime is 122554379. The reversal of 122554368 is 863455221.

It can be written as a sum of positive squares in 2 ways, for example, as 117679104 + 4875264 = 10848^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122554361) 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, 1124298 + ... + 1124406.

Almost surely, 2^122554368 is an apocalyptic number.

122554368 is a gapful number since it is divisible by the number (18) 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 122554368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181531350).

122554368 is an abundant number, since it is smaller than the sum of its proper divisors (240508332).

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

122554368 is a wasteful number, since it uses less digits than its factorization.

122554368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 122554368 is about 11070.4276340167. The cubic root of 122554368 is about 496.7176569323.

The spelling of 122554368 in words is "one hundred twenty-two million, five hundred fifty-four thousand, three hundred sixty-eight".