123142896 has 80 divisors (see below), whose sum is σ = 359337120. Its totient is φ = 40366080.

The previous prime is 123142847. The next prime is 123142907. The reversal of 123142896 is 698241321.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123142896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24016 + ... + 28688.

It is an arithmetic number, because the mean of its divisors is an integer number (4491714).

Almost surely, 2^123142896 is an apocalyptic number.

123142896 is a gapful number since it is divisible by the number (16) 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 123142896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179668560).

123142896 is an abundant number, since it is smaller than the sum of its proper divisors (236194224).

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

123142896 is a wasteful number, since it uses less digits than its factorization.

123142896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4739 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 123142896 is about 11096.9768856207. The cubic root of 123142896 is about 497.5114965820.

The spelling of 123142896 in words is "one hundred twenty-three million, one hundred forty-two thousand, eight hundred ninety-six".