12003557973120 has 1536 divisors, whose sum is σ = 51255479808000. Its totient is φ = 2582915973120.

The previous prime is 12003557973119. The next prime is 12003557973131. The reversal of 12003557973120 is 2137975530021.

12003557973120 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 5 + 579 + 73 + 1 + 2 + 0 = 666.

12003557973120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2266102312 + ... + 2266107608.

It is an arithmetic number, because the mean of its divisors is an integer number (33369453000).

Almost surely, 2^{12003557973120} is an apocalyptic number.

12003557973120 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 12003557973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25627739904000).

12003557973120 is an abundant number, since it is smaller than the sum of its proper divisors (39251921834880).

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

12003557973120 is a wasteful number, since it uses less digits than its factorization.

12003557973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 12003557973120 in words is "twelve trillion, three billion, five hundred fifty-seven million, nine hundred seventy-three thousand, one hundred twenty".