122688720 has 240 divisors, whose sum is σ = 513931392. Its totient is φ = 25482240.

The previous prime is 122688703. The next prime is 122688737. The reversal of 122688720 is 27886221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122688703) and next prime (122688737).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54334 + ... + 56546.

Almost surely, 2^122688720 is an apocalyptic number.

122688720 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 122688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256965696).

122688720 is an abundant number, since it is smaller than the sum of its proper divisors (391242672).

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

122688720 is a wasteful number, since it uses less digits than its factorization.

122688720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2241 counting only the distinct ones).

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

The square root of 122688720 is about 11076.4940301523. The cubic root of 122688720 is about 496.8991019518.

The spelling of 122688720 in words is "one hundred twenty-two million, six hundred eighty-eight thousand, seven hundred twenty".