122481744 has 160 divisors (see below), whose sum is σ = 407592960. Its totient is φ = 30758400.

The previous prime is 122481727. The next prime is 122481757. The reversal of 122481744 is 447184221.

It is a super-2 number, since 2×122481744² = 30003555226563072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114042 + ... + 115110.

It is an arithmetic number, because the mean of its divisors is an integer number (2547456).

Almost surely, 2^122481744 is an apocalyptic number.

122481744 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 122481744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203796480).

122481744 is an abundant number, since it is smaller than the sum of its proper divisors (285111216).

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

122481744 is a wasteful number, since it uses less digits than its factorization.

122481744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 122481744 is about 11067.1470578465. The cubic root of 122481744 is about 496.6195215724.

The spelling of 122481744 in words is "one hundred twenty-two million, four hundred eighty-one thousand, seven hundred forty-four".