123833472 has 128 divisors (see below), whose sum is σ = 392463360. Its totient is φ = 33825792.

The previous prime is 123833471. The next prime is 123833473. The reversal of 123833472 is 274338321.

It is an interprime number because it is at equal distance from previous prime (123833471) and next prime (123833473).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (123833471) 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, 60823 + ... + 62825.

It is an arithmetic number, because the mean of its divisors is an integer number (3066120).

Almost surely, 2^123833472 is an apocalyptic number.

123833472 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 123833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196231680).

123833472 is an abundant number, since it is smaller than the sum of its proper divisors (268629888).

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

123833472 is a wasteful number, since it uses less digits than its factorization.

123833472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2038 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 123833472 is about 11128.0488855864. The cubic root of 123833472 is about 498.4397657356.

The spelling of 123833472 in words is "one hundred twenty-three million, eight hundred thirty-three thousand, four hundred seventy-two".