123472512 has 80 divisors (see below), whose sum is σ = 367483050. Its totient is φ = 41154048.

The previous prime is 123472511. The next prime is 123472541. The reversal of 123472512 is 215274321.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 11451456 = 10584^2 + 3384^2 .

It is a super-2 number, since 2×123472512² = 30490922439180288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123472511) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4414 + ... + 16322.

Almost surely, 2^123472512 is an apocalyptic number.

123472512 is a gapful number since it is divisible by the number (12) 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 123472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183741525).

123472512 is an abundant number, since it is smaller than the sum of its proper divisors (244010538).

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

123472512 is an equidigital number, since it uses as much as digits as its factorization.

123472512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11935 (or 11914 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 123472512 is about 11111.8185730329. The cubic root of 123472512 is about 497.9549966590.

The spelling of 123472512 in words is "one hundred twenty-three million, four hundred seventy-two thousand, five hundred twelve".