122462144 has 56 divisors (see below), whose sum is σ = 292364160. Its totient is φ = 49718016.

The previous prime is 122462141. The next prime is 122462173. The reversal of 122462144 is 441264221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122462141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1319 + ... + 15705.

Almost surely, 2^122462144 is an apocalyptic number.

122462144 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 122462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146182080).

122462144 is an abundant number, since it is smaller than the sum of its proper divisors (169902016).

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

122462144 is a wasteful number, since it uses less digits than its factorization.

122462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425 (or 14415 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 122462144 is about 11066.2615186882. The cubic root of 122462144 is about 496.5930298369.

The spelling of 122462144 in words is "one hundred twenty-two million, four hundred sixty-two thousand, one hundred forty-four".