122763720 has 128 divisors (see below), whose sum is σ = 387118080. Its totient is φ = 31104000.

The previous prime is 122763703. The next prime is 122763733. The reversal of 122763720 is 27367221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226650 + ... + 227190.

It is an arithmetic number, because the mean of its divisors is an integer number (3024360).

Almost surely, 2^122763720 is an apocalyptic number.

122763720 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 122763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193559040).

122763720 is an abundant number, since it is smaller than the sum of its proper divisors (264354360).

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

122763720 is a wasteful number, since it uses less digits than its factorization.

122763720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 122763720 is about 11079.8790607118. The cubic root of 122763720 is about 497.0003333210. Note that the first 3 decimals are identical.

The spelling of 122763720 in words is "one hundred twenty-two million, seven hundred sixty-three thousand, seven hundred twenty".