13123920 has 80 divisors (see below), whose sum is σ = 41068800. Its totient is φ = 3466752.

The previous prime is 13123919. The next prime is 13123931. The reversal of 13123920 is 2932131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35577 + ... + 35943.

It is an arithmetic number, because the mean of its divisors is an integer number (513360).

Almost surely, 2^13123920 is an apocalyptic number.

13123920 is a gapful number since it is divisible by the number (10) 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 13123920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534400).

13123920 is an abundant number, since it is smaller than the sum of its proper divisors (27944880).

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

13123920 is a wasteful number, since it uses less digits than its factorization.

13123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13123920 is about 3622.6951293202. The cubic root of 13123920 is about 235.8782288580.

The spelling of 13123920 in words is "thirteen million, one hundred twenty-three thousand, nine hundred twenty".