122263680 has 256 divisors, whose sum is σ = 486466560. Its totient is φ = 25374720.

The previous prime is 122263679. The next prime is 122263709. The reversal of 122263680 is 86362221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 147427 + ... + 148253.

It is an arithmetic number, because the mean of its divisors is an integer number (1900260).

Almost surely, 2^122263680 is an apocalyptic number.

122263680 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 122263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243233280).

122263680 is an abundant number, since it is smaller than the sum of its proper divisors (364202880).

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

122263680 is a wasteful number, since it uses less digits than its factorization.

122263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 122263680 is about 11057.2908074266. The cubic root of 122263680 is about 496.3246227352.

The spelling of 122263680 in words is "one hundred twenty-two million, two hundred sixty-three thousand, six hundred eighty".