12013319280000 has 1280 divisors, whose sum is σ = 43312063703040. Its totient is φ = 2938306560000.

The previous prime is 12013319279993. The next prime is 12013319280023. The reversal of 12013319280000 is 8291331021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12013319280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32733839817 + ... + 32733840183.

It is an arithmetic number, because the mean of its divisors is an integer number (33837549768).

Almost surely, 2^{12013319280000} is an apocalyptic number.

12013319280000 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 12013319280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21656031851520).

12013319280000 is an abundant number, since it is smaller than the sum of its proper divisors (31298744423040).

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

12013319280000 is a wasteful number, since it uses less digits than its factorization.

12013319280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

It can be divided in two parts, 1201331 and 9280000, that added together give a triangular number (10481331 = T₄₅₇₈).

The spelling of 12013319280000 in words is "twelve trillion, thirteen billion, three hundred nineteen million, two hundred eighty thousand".