12003474117600 has 864 divisors, whose sum is σ = 51249739806720. Its totient is φ = 2580737310720.

The previous prime is 12003474117599. The next prime is 12003474117619. The reversal of 12003474117600 is 671147430021.

12003474117600 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 4 + 7 + 41 + 1 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2041751461 + ... + 2041757339.

It is an arithmetic number, because the mean of its divisors is an integer number (59316828480).

Almost surely, 2^{12003474117600} is an apocalyptic number.

12003474117600 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 12003474117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25624869903360).

12003474117600 is an abundant number, since it is smaller than the sum of its proper divisors (39246265689120).

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

12003474117600 is a wasteful number, since it uses less digits than its factorization.

12003474117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12003474117600 in words is "twelve trillion, three billion, four hundred seventy-four million, one hundred seventeen thousand, six hundred".