12090235919580 has 384 divisors, whose sum is σ = 47167723008000. Its totient is φ = 2502776060928.

The previous prime is 12090235919533. The next prime is 12090235919603. The reversal of 12090235919580 is 8591953209021.

It is a happy number.

12090235919580 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 2 + 3 + 59 + 1 + 9 + 580 = 666.

It is a super-2 number, since 2×12090235919580² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283321 + ... + 4925519.

It is an arithmetic number, because the mean of its divisors is an integer number (122832612000).

Almost surely, 2^{12090235919580} is an apocalyptic number.

12090235919580 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 12090235919580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23583861504000).

12090235919580 is an abundant number, since it is smaller than the sum of its proper divisors (35077487088420).

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

12090235919580 is a wasteful number, since it uses less digits than its factorization.

12090235919580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642290 (or 4642282 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 12090235919580 in words is "twelve trillion, ninety billion, two hundred thirty-five million, nine hundred nineteen thousand, five hundred eighty".