122132320 has 96 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 47056896.

The previous prime is 122132251. The next prime is 122132327. The reversal of 122132320 is 23231221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122132294 and 122132303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819606 + ... + 819754.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^122132320 is an apocalyptic number.

122132320 is a gapful number since it is divisible by the number (10) 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 122132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

122132320 is an abundant number, since it is smaller than the sum of its proper divisors (177243680).

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

122132320 is a wasteful number, since it uses less digits than its factorization.

122132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122132320 is about 11051.3492388939. The cubic root of 122132320 is about 496.1468087797.

Adding to 122132320 its reverse (23231221), we get a palindrome (145363541).

The spelling of 122132320 in words is "one hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty".