122691744 has 72 divisors (see below), whose sum is σ = 398754720. Its totient is φ = 35054208.

The previous prime is 122691733. The next prime is 122691749. The reversal of 122691744 is 447196221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 122691699 and 122691708.

It is not an unprimeable number, because it can be changed into a prime (122691749) 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, 28414 + ... + 32445.

It is an arithmetic number, because the mean of its divisors is an integer number (5538260).

Almost surely, 2^122691744 is an apocalyptic number.

122691744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122691744 is an abundant number, since it is smaller than the sum of its proper divisors (276062976).

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

122691744 is a wasteful number, since it uses less digits than its factorization.

122691744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60882 (or 60871 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 122691744 is about 11076.6305345985. The cubic root of 122691744 is about 496.9031843986.

It can be divided in two parts, 1226917 and 44, that added together give a triangular number (1226961 = T₁₅₆₆).

The spelling of 122691744 in words is "one hundred twenty-two million, six hundred ninety-one thousand, seven hundred forty-four".