12111909351300 has 432 divisors, whose sum is σ = 41582135073024. Its totient is φ = 2924419680000.

The previous prime is 12111909351271. The next prime is 12111909351331. The reversal of 12111909351300 is 315390911121.

12111909351300 is a `hidden beast` number, since 1 + 21 + 119 + 0 + 9 + 3 + 513 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4434970935 + ... + 4434973665.

Almost surely, 2^{12111909351300} is an apocalyptic number.

12111909351300 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 12111909351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791067536512).

12111909351300 is an abundant number, since it is smaller than the sum of its proper divisors (29470225721724).

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

12111909351300 is a wasteful number, since it uses less digits than its factorization.

12111909351300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 12111909351300 in words is "twelve trillion, one hundred eleven billion, nine hundred nine million, three hundred fifty-one thousand, three hundred".