122736720 has 80 divisors (see below), whose sum is σ = 382743360. Its totient is φ = 32535552.

The previous prime is 122736709. The next prime is 122736727. The reversal of 122736720 is 27637221.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122736727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41532 + ... + 44388.

It is an arithmetic number, because the mean of its divisors is an integer number (4784292).

Almost surely, 2^122736720 is an apocalyptic number.

122736720 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 122736720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191371680).

122736720 is an abundant number, since it is smaller than the sum of its proper divisors (260006640).

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

122736720 is a wasteful number, since it uses less digits than its factorization.

122736720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

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

The square root of 122736720 is about 11078.6605688594. The cubic root of 122736720 is about 496.9638947790.

The spelling of 122736720 in words is "one hundred twenty-two million, seven hundred thirty-six thousand, seven hundred twenty".