122176880280 has 1152 divisors, whose sum is σ = 540743040000. Its totient is φ = 24387277824.

The previous prime is 122176880263. The next prime is 122176880311. The reversal of 122176880280 is 82088671221.

It is a happy number.

122176880280 is a `hidden beast` number, since 1 + 221 + 76 + 8 + 80 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169925761 + ... + 169926479.

It is an arithmetic number, because the mean of its divisors is an integer number (469395000).

Almost surely, 2^122176880280 is an apocalyptic number.

122176880280 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 122176880280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270371520000).

122176880280 is an abundant number, since it is smaller than the sum of its proper divisors (418566159720).

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

122176880280 is a wasteful number, since it uses less digits than its factorization.

122176880280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 122176880280 in words is "one hundred twenty-two billion, one hundred seventy-six million, eight hundred eighty thousand, two hundred eighty".