13123296000 has 720 divisors, whose sum is σ = 50234472288. Its totient is φ = 3400704000.

The previous prime is 13123295971. The next prime is 13123296077. The reversal of 13123296000 is 69232131.

13123296000 is a `hidden beast` number, since 1 + 31 + 2 + 3 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158111959 + ... + 158112041.

Almost surely, 2^13123296000 is an apocalyptic number.

13123296000 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 13123296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117236144).

13123296000 is an abundant number, since it is smaller than the sum of its proper divisors (37111176288).

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

13123296000 is an frugal number, since it uses more digits than its factorization.

13123296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13123296000 in words is "thirteen billion, one hundred twenty-three million, two hundred ninety-six thousand".