122760 has 96 divisors (see below), whose sum is σ = 449280. Its totient is φ = 28800.

The previous prime is 122753. The next prime is 122761. The reversal of 122760 is 67221.

122760 = 7³ + 8³ + ... + 26³.

It is a happy number.

122760 is a nontrivial binomial coefficient, being equal to C(496, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122760.

It is not an unprimeable number, because it can be changed into a prime (122761) by changing a digit.

122760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3945 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2¹²²⁷⁶⁰ is an apocalyptic number.

122760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122760 is the 495-th triangular number and also the 248-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

122760 is an abundant number, since it is smaller than the sum of its proper divisors (326520).

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

122760 is a wasteful number, since it uses less digits than its factorization.

122760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122760 is about 350.3712316958. The cubic root of 122760 is about 49.6995313217.

Adding to 122760 its reverse (67221), we get a palindrome (189981).

It can be divided in two parts, 12 and 2760, that added together give a palindrome (2772).

The spelling of 122760 in words is "one hundred twenty-two thousand, seven hundred sixty".