123261432 has 64 divisors (see below), whose sum is σ = 355518720. Its totient is φ = 34883328.

The previous prime is 123261431. The next prime is 123261497. The reversal of 123261432 is 234162321.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (123261431) 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, 14548 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (5554980).

Almost surely, 2^123261432 is an apocalyptic number.

123261432 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 123261432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759360).

123261432 is an abundant number, since it is smaller than the sum of its proper divisors (232257288).

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

123261432 is a wasteful number, since it uses less digits than its factorization.

123261432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6976 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 123261432 is about 11102.3165150341. The cubic root of 123261432 is about 497.6710784243.

The spelling of 123261432 in words is "one hundred twenty-three million, two hundred sixty-one thousand, four hundred thirty-two".