122868720 has 120 divisors (see below), whose sum is σ = 444409056. Its totient is φ = 30242304.

The previous prime is 122868689. The next prime is 122868727. The reversal of 122868720 is 27868221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122868727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2797 + ... + 15923.

Almost surely, 2^122868720 is an apocalyptic number.

122868720 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 122868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222204528).

122868720 is an abundant number, since it is smaller than the sum of its proper divisors (321540336).

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

122868720 is a wasteful number, since it uses less digits than its factorization.

122868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 122868720 is about 11084.6163668392. The cubic root of 122868720 is about 497.1419879946.

The spelling of 122868720 in words is "one hundred twenty-two million, eight hundred sixty-eight thousand, seven hundred twenty".