122313672 has 128 divisors (see below), whose sum is σ = 374774400. Its totient is φ = 36723456.

The previous prime is 122313649. The next prime is 122313713. The reversal of 122313672 is 276313221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120238 + ... + 121250.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 2^122313672 is an apocalyptic number.

122313672 is a gapful number since it is divisible by the number (12) 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 122313672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187387200).

122313672 is an abundant number, since it is smaller than the sum of its proper divisors (252460728).

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

122313672 is a wasteful number, since it uses less digits than its factorization.

122313672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 122313672 is about 11059.5511662997. The cubic root of 122313672 is about 496.3922603730.

Adding to 122313672 its reverse (276313221), we get a palindrome (398626893).

The spelling of 122313672 in words is "one hundred twenty-two million, three hundred thirteen thousand, six hundred seventy-two".