122948928 has 140 divisors (see below), whose sum is σ = 374893332. Its totient is φ = 39813120.

The previous prime is 122948927. The next prime is 122948929. The reversal of 122948928 is 829849221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122948927) and next prime (122948929).

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 12446784 = 10512^2 + 3528^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122948921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191488 + ... + 192128.

Almost surely, 2^122948928 is an apocalyptic number.

122948928 is a gapful number since it is divisible by the number (18) 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 122948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187446666).

122948928 is an abundant number, since it is smaller than the sum of its proper divisors (251944404).

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

122948928 is an equidigital number, since it uses as much as digits as its factorization.

122948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 683 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 122948928 is about 11088.2337637696. The cubic root of 122948928 is about 497.2501416160.

The spelling of 122948928 in words is "one hundred twenty-two million, nine hundred forty-eight thousand, nine hundred twenty-eight".