123152224 has 48 divisors (see below), whose sum is σ = 274866480. Its totient is φ = 53844480.

The previous prime is 123152221. The next prime is 123152257. The reversal of 123152224 is 422251321.

It is a happy number.

It is a super-2 number, since 2×123152224² = 30332940552292352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123152195 and 123152204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123152221) 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, 114 + ... + 15694.

It is an arithmetic number, because the mean of its divisors is an integer number (5726385).

Almost surely, 2^123152224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137433240).

123152224 is an abundant number, since it is smaller than the sum of its proper divisors (151714256).

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

123152224 is a wasteful number, since it uses less digits than its factorization.

123152224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15623 (or 15615 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 123152224 is about 11097.3971723103. The cubic root of 123152224 is about 497.5240583300.

The spelling of 123152224 in words is "one hundred twenty-three million, one hundred fifty-two thousand, two hundred twenty-four".