12081833085960 has 896 divisors, whose sum is σ = 48597562690560. Its totient is φ = 2667678105600.

The previous prime is 12081833085953. The next prime is 12081833085979. The reversal of 12081833085960 is 6958033818021.

12081833085960 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 18 + 3 + 30 + 8 + 596 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12081833085897 and 12081833085906.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 169004784 + ... + 169076256.

Almost surely, 2^{12081833085960} is an apocalyptic number.

12081833085960 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 12081833085960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298781345280).

12081833085960 is an abundant number, since it is smaller than the sum of its proper divisors (36515729604600).

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

12081833085960 is a wasteful number, since it uses less digits than its factorization.

12081833085960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71561 (or 71542 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12081833085960 in words is "twelve trillion, eighty-one billion, eight hundred thirty-three million, eighty-five thousand, nine hundred sixty".