12130293120000 has 2640 divisors, whose sum is σ = 48884520845952. Its totient is φ = 2647572480000.

The previous prime is 12130293119947. The next prime is 12130293120017. The reversal of 12130293120000 is 2139203121.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×12130293120000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 282099839979 + ... + 282099840021.

Almost surely, 2^{12130293120000} is an apocalyptic number.

12130293120000 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 12130293120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24442260422976).

12130293120000 is an abundant number, since it is smaller than the sum of its proper divisors (36754227725952).

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

12130293120000 is a wasteful number, since it uses less digits than its factorization.

12130293120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 12130293120000 in words is "twelve trillion, one hundred thirty billion, two hundred ninety-three million, one hundred twenty thousand".