122647680 has 192 divisors, whose sum is σ = 429624000. Its totient is φ = 32237568.

The previous prime is 122647649. The next prime is 122647729. The reversal of 122647680 is 86746221.

122647680 is a `hidden beast` number, since 1 + 2 + 2 + 647 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616221 + ... + 616419.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^122647680 is an apocalyptic number.

122647680 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 122647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

122647680 is an abundant number, since it is smaller than the sum of its proper divisors (306976320).

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

122647680 is a wasteful number, since it uses less digits than its factorization.

122647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 122647680 is about 11074.6413034464. The cubic root of 122647680 is about 496.8436906817.

The spelling of 122647680 in words is "one hundred twenty-two million, six hundred forty-seven thousand, six hundred eighty".