122304757680 has 720 divisors, whose sum is σ = 509188243200. Its totient is φ = 26724183552.

The previous prime is 122304757669. The next prime is 122304757697. The reversal of 122304757680 is 86757403221.

122304757680 is a `hidden beast` number, since 1 + 2 + 2 + 30 + 47 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71985471 + ... + 71987169.

Almost surely, 2^122304757680 is an apocalyptic number.

122304757680 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 122304757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254594121600).

122304757680 is an abundant number, since it is smaller than the sum of its proper divisors (386883485520).

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

122304757680 is a wasteful number, since it uses less digits than its factorization.

122304757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 122304757680 in words is "one hundred twenty-two billion, three hundred four million, seven hundred fifty-seven thousand, six hundred eighty".