12133503557000 has 64 divisors (see below), whose sum is σ = 32448455245440. Its totient is φ = 4160058360000.

The previous prime is 12133503556949. The next prime is 12133503557017. The reversal of 12133503557000 is 75530533121.

It is a super-3 number, since 3×12133503557000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866671826 + ... + 866685825.

It is an arithmetic number, because the mean of its divisors is an integer number (507007113210).

Almost surely, 2^{12133503557000} is an apocalyptic number.

12133503557000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133503557000 is an abundant number, since it is smaller than the sum of its proper divisors (20314951688440).

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

12133503557000 is a wasteful number, since it uses less digits than its factorization.

12133503557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733357679 (or 1733357665 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 35.

The spelling of 12133503557000 in words is "twelve trillion, one hundred thirty-three billion, five hundred three million, five hundred fifty-seven thousand".