12190784934720 has 896 divisors, whose sum is σ = 48959667993600. Its totient is φ = 2558542479360.

The previous prime is 12190784934701. The next prime is 12190784934751. The reversal of 12190784934720 is 2743948709121.

It is a super-2 number, since 2×12190784934720² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229481602 + ... + 229534718.

It is an arithmetic number, because the mean of its divisors is an integer number (54642486600).

Almost surely, 2^{12190784934720} is an apocalyptic number.

12190784934720 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 12190784934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479833996800).

12190784934720 is an abundant number, since it is smaller than the sum of its proper divisors (36768883058880).

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

12190784934720 is a wasteful number, since it uses less digits than its factorization.

12190784934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53216 (or 53192 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 12190784934720 in words is "twelve trillion, one hundred ninety billion, seven hundred eighty-four million, nine hundred thirty-four thousand, seven hundred twenty".