122886720 has 280 divisors, whose sum is σ = 477975168. Its totient is φ = 29721600.

The previous prime is 122886719. The next prime is 122886773. The reversal of 122886720 is 27688221.

It is a happy number.

It is a super-2 number, since 2×122886720² = 30202291904716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284905 + ... + 285335.

Almost surely, 2^122886720 is an apocalyptic number.

122886720 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 122886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987584).

122886720 is an abundant number, since it is smaller than the sum of its proper divisors (355088448).

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

122886720 is a wasteful number, since it uses less digits than its factorization.

122886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 122886720 is about 11085.4282731882. The cubic root of 122886720 is about 497.1662635489.

The spelling of 122886720 in words is "one hundred twenty-two million, eight hundred eighty-six thousand, seven hundred twenty".