122494144 has 56 divisors (see below), whose sum is σ = 259689600. Its totient is φ = 57200640.

The previous prime is 122494133. The next prime is 122494181. The reversal of 122494144 is 441494221.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56472 + ... + 58600.

Almost surely, 2^122494144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129844800).

122494144 is an abundant number, since it is smaller than the sum of its proper divisors (137195456).

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

122494144 is a wasteful number, since it uses less digits than its factorization.

122494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2191 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 122494144 is about 11067.7072603137. The cubic root of 122494144 is about 496.6362801903.

The spelling of 122494144 in words is "one hundred twenty-two million, four hundred ninety-four thousand, one hundred forty-four".