122720 has 48 divisors (see below), whose sum is σ = 317520. Its totient is φ = 44544.

The previous prime is 122719. The next prime is 122741. The reversal of 122720 is 27221.

It is a junction number, because it is equal to n+sod(n) for n = 122695 and 122704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2¹²²⁷²⁰ is an apocalyptic number.

122720 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 122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

122720 is an abundant number, since it is smaller than the sum of its proper divisors (194800).

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

122720 is a wasteful number, since it uses less digits than its factorization.

122720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 122720 is about 350.3141447330. The cubic root of 122720 is about 49.6941327195.

Adding to 122720 its reverse (27221), we get a palindrome (149941).

It can be divided in two parts, 12 and 2720, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 122720 in words is "one hundred twenty-two thousand, seven hundred twenty", and thus it is an iban number.