12114919449600 has 1056 divisors, whose sum is σ = 44450489319936. Its totient is φ = 2885654937600.

The previous prime is 12114919449593. The next prime is 12114919449629. The reversal of 12114919449600 is 694491941121.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13357132347 + ... + 13357133253.

Almost surely, 2^{12114919449600} is an apocalyptic number.

12114919449600 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 12114919449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22225244659968).

12114919449600 is an abundant number, since it is smaller than the sum of its proper divisors (32335569870336).

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

12114919449600 is a wasteful number, since it uses less digits than its factorization.

12114919449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 12114919449600 in words is "twelve trillion, one hundred fourteen billion, nine hundred nineteen million, four hundred forty-nine thousand, six hundred".