122654720 has 104 divisors (see below), whose sum is σ = 302542776. Its totient is φ = 47710208.

The previous prime is 122654663. The next prime is 122654723. The reversal of 122654720 is 27456221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 121176064 = 1216^2 + 11008^2 .

It is not an unprimeable number, because it can be changed into a prime (122654723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085384 + ... + 1085496.

Almost surely, 2^122654720 is an apocalyptic number.

122654720 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 122654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151271388).

122654720 is an abundant number, since it is smaller than the sum of its proper divisors (179888056).

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

122654720 is an equidigital number, since it uses as much as digits as its factorization.

122654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 122654720 is about 11074.9591421368. The cubic root of 122654720 is about 496.8531968071.

The spelling of 122654720 in words is "one hundred twenty-two million, six hundred fifty-four thousand, seven hundred twenty".