122171280 has 240 divisors, whose sum is σ = 476552832. Its totient is φ = 25344000.

The previous prime is 122171263. The next prime is 122171281. The reversal of 122171280 is 82171221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122171280.

It is not an unprimeable number, because it can be changed into a prime (122171281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202980 + ... + 203580.

Almost surely, 2^122171280 is an apocalyptic number.

122171280 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 122171280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238276416).

122171280 is an abundant number, since it is smaller than the sum of its proper divisors (354381552).

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

122171280 is a wasteful number, since it uses less digits than its factorization.

122171280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 122171280 is about 11053.1117790421. Note that the first 3 decimals coincide. The cubic root of 122171280 is about 496.1995598305.

The spelling of 122171280 in words is "one hundred twenty-two million, one hundred seventy-one thousand, two hundred eighty".