12010013301000 has 512 divisors, whose sum is σ = 44100421747200. Its totient is φ = 2682777600000.

The previous prime is 12010013300951. The next prime is 12010013301227. The reversal of 12010013301000 is 10331001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 127 ways as a sum of consecutive naturals, for example, 244076400 + ... + 244125600.

It is an arithmetic number, because the mean of its divisors is an integer number (86133636225).

Almost surely, 2^{12010013301000} is an apocalyptic number.

12010013301000 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 12010013301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050210873600).

12010013301000 is an abundant number, since it is smaller than the sum of its proper divisors (32090408446200).

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

12010013301000 is a wasteful number, since it uses less digits than its factorization.

12010013301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49818 (or 49804 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12010013301000 its reverse (10331001021), we get a palindrome (12020344302021).

The spelling of 12010013301000 in words is "twelve trillion, ten billion, thirteen million, three hundred one thousand".