122711680 has 256 divisors, whose sum is σ = 376992000. Its totient is φ = 37933056.

The previous prime is 122711629. The next prime is 122711683. The reversal of 122711680 is 86117221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122711683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853739 + ... + 2853781.

It is an arithmetic number, because the mean of its divisors is an integer number (1472625).

Almost surely, 2^122711680 is an apocalyptic number.

122711680 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 122711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

122711680 is an abundant number, since it is smaller than the sum of its proper divisors (254280320).

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

122711680 is an equidigital number, since it uses as much as digits as its factorization.

122711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 122711680 is about 11077.5304107008. The cubic root of 122711680 is about 496.9300966289.

The spelling of 122711680 in words is "one hundred twenty-two million, seven hundred eleven thousand, six hundred eighty".