12242707180704 has 1152 divisors, whose sum is σ = 48577328916480. Its totient is φ = 2821174272000.

The previous prime is 12242707180687. The next prime is 12242707180721. The reversal of 12242707180704 is 40708170724221.

12242707180704 is a `hidden beast` number, since 12 + 2 + 427 + 0 + 71 + 80 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12242707180687) and next prime (12242707180721).

It is a super-2 number, since 2×12242707180704² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12242707180704.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1897796679 + ... + 1897803129.

It is an arithmetic number, because the mean of its divisors is an integer number (42167820240).

Almost surely, 2^{12242707180704} is an apocalyptic number.

12242707180704 is a gapful number since it is divisible by the number (14) 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 12242707180704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288664458240).

12242707180704 is an abundant number, since it is smaller than the sum of its proper divisors (36334621735776).

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

12242707180704 is a wasteful number, since it uses less digits than its factorization.

12242707180704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 12242707180704 in words is "twelve trillion, two hundred forty-two billion, seven hundred seven million, one hundred eighty thousand, seven hundred four".