123090336 has 144 divisors (see below), whose sum is σ = 383056128. Its totient is φ = 37324800.

The previous prime is 123090311. The next prime is 123090361. The reversal of 123090336 is 633090321.

It is an interprime number because it is at equal distance from previous prime (123090311) and next prime (123090361).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 151371 + ... + 152181.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 2^123090336 is an apocalyptic number.

123090336 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 123090336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191528064).

123090336 is an abundant number, since it is smaller than the sum of its proper divisors (259965792).

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

123090336 is a wasteful number, since it uses less digits than its factorization.

123090336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 123090336 is about 11094.6084203094. The cubic root of 123090336 is about 497.4407036893.

The spelling of 123090336 in words is "one hundred twenty-three million, ninety thousand, three hundred thirty-six".