12141611304900 has 288 divisors, whose sum is σ = 46374463844352. Its totient is φ = 2374524364800.

The previous prime is 12141611304871. The next prime is 12141611304913. The reversal of 12141611304900 is 940311614121.

It is a happy number.

12141611304900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 15066444 + ... + 15851843.

It is an arithmetic number, because the mean of its divisors is an integer number (161022443904).

Almost surely, 2^{12141611304900} is an apocalyptic number.

12141611304900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141611304900 is an abundant number, since it is smaller than the sum of its proper divisors (34232852539452).

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

12141611304900 is a wasteful number, since it uses less digits than its factorization.

12141611304900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30918339 (or 30918332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 12141611304900 in words is "twelve trillion, one hundred forty-one billion, six hundred eleven million, three hundred four thousand, nine hundred".