122252160 has 128 divisors (see below), whose sum is σ = 399440160. Its totient is φ = 31784960.

The previous prime is 122252159. The next prime is 122252227. The reversal of 122252160 is 61252221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77944 + ... + 79496.

Almost surely, 2^122252160 is an apocalyptic number.

122252160 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 122252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199720080).

122252160 is an abundant number, since it is smaller than the sum of its proper divisors (277188000).

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

122252160 is a wasteful number, since it uses less digits than its factorization.

122252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 122252160 is about 11056.7698718930. The cubic root of 122252160 is about 496.3090339159.

The spelling of 122252160 in words is "one hundred twenty-two million, two hundred fifty-two thousand, one hundred sixty".