12214954104192 has 384 divisors, whose sum is σ = 40683674304000. Its totient is φ = 3445582897152.

The previous prime is 12214954104179. The next prime is 12214954104211. The reversal of 12214954104192 is 29140145941221.

12214954104192 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 49 + 5 + 410 + 4 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490173909 + ... + 490198827.

It is an arithmetic number, because the mean of its divisors is an integer number (105947068500).

Almost surely, 2^{12214954104192} is an apocalyptic number.

12214954104192 is a gapful number since it is divisible by the number (12) 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 12214954104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341837152000).

12214954104192 is an abundant number, since it is smaller than the sum of its proper divisors (28468720199808).

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

12214954104192 is a wasteful number, since it uses less digits than its factorization.

12214954104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25718 (or 25703 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12214954104192 in words is "twelve trillion, two hundred fourteen billion, nine hundred fifty-four million, one hundred four thousand, one hundred ninety-two".