12046053072240 has 240 divisors, whose sum is σ = 44140444339680. Its totient is φ = 2919720222720.

The previous prime is 12046053072211. The next prime is 12046053072271. The reversal of 12046053072240 is 4227035064021.

12046053072240 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 60 + 530 + 7 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12046053072195 and 12046053072204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43969924 + ... + 44243036.

It is an arithmetic number, because the mean of its divisors is an integer number (183918518082).

Almost surely, 2^{12046053072240} is an apocalyptic number.

12046053072240 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 12046053072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070222169840).

12046053072240 is an abundant number, since it is smaller than the sum of its proper divisors (32094391267440).

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

12046053072240 is a wasteful number, since it uses less digits than its factorization.

12046053072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278712 (or 278703 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12046053072240 in words is "twelve trillion, forty-six billion, fifty-three million, seventy-two thousand, two hundred forty".