122686080 has 256 divisors, whose sum is σ = 440933760. Its totient is φ = 28753920.

The previous prime is 122686061. The next prime is 122686099. The reversal of 122686080 is 80686221.

It is an interprime number because it is at equal distance from previous prime (122686061) and next prime (122686099).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781362 + ... + 781518.

Almost surely, 2^122686080 is an apocalyptic number.

122686080 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 122686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220466880).

122686080 is an abundant number, since it is smaller than the sum of its proper divisors (318247680).

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

122686080 is a wasteful number, since it uses less digits than its factorization.

122686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 122686080 is about 11076.3748582287. The cubic root of 122686080 is about 496.8955378560.

The spelling of 122686080 in words is "one hundred twenty-two million, six hundred eighty-six thousand, eighty".