12234742087680 has 3840 divisors, whose sum is σ = 57400486133760. Its totient is φ = 2406708412416.

The previous prime is 12234742087489. The next prime is 12234742087753. The reversal of 12234742087680 is 8678024743221.

12234742087680 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 474 + 20 + 8 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 260313661417 + ... + 260313661463.

It is an arithmetic number, because the mean of its divisors is an integer number (14948043264).

Almost surely, 2^{12234742087680} is an apocalyptic number.

12234742087680 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 12234742087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28700243066880).

12234742087680 is an abundant number, since it is smaller than the sum of its proper divisors (45165744046080).

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

12234742087680 is a wasteful number, since it uses less digits than its factorization.

12234742087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 12234742087680 in words is "twelve trillion, two hundred thirty-four billion, seven hundred forty-two million, eighty-seven thousand, six hundred eighty".