122163914880 has 2304 divisors, whose sum is σ = 575971119360. Its totient is φ = 24524881920.

The previous prime is 122163914867. The next prime is 122163914893. The reversal of 122163914880 is 88419361221.

122163914880 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 639 + 1 + 4 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122163914867) and next prime (122163914893).

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, 2979607660 + ... + 2979607700.

It is an arithmetic number, because the mean of its divisors is an integer number (249987465).

Almost surely, 2^122163914880 is an apocalyptic number.

122163914880 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 122163914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287985559680).

122163914880 is an abundant number, since it is smaller than the sum of its proper divisors (453807204480).

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

122163914880 is a wasteful number, since it uses less digits than its factorization.

122163914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 122163914880 in words is "one hundred twenty-two billion, one hundred sixty-three million, nine hundred fourteen thousand, eight hundred eighty".