12071745311300 has 72 divisors (see below), whose sum is σ = 27103432560960. Its totient is φ = 4661426448000.

The previous prime is 12071745311243. The next prime is 12071745311317. The reversal of 12071745311300 is 311354717021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17499527 + ... + 18176273.

Almost surely, 2^{12071745311300} is an apocalyptic number.

12071745311300 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 12071745311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551716280480).

12071745311300 is an abundant number, since it is smaller than the sum of its proper divisors (15031687249660).

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

12071745311300 is a wasteful number, since it uses less digits than its factorization.

12071745311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682941 (or 682934 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 12071745311300 in words is "twelve trillion, seventy-one billion, seven hundred forty-five million, three hundred eleven thousand, three hundred".