12704901834240 has 3840 divisors, whose sum is σ = 60995483467776. Its totient is φ = 2363306803200.

The previous prime is 12704901834211. The next prime is 12704901834263. The reversal of 12704901834240 is 4243810940721.

12704901834240 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 49 + 0 + 183 + 424 + 0 = 666.

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

It is a super-2 number, since 2×12704901834240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100038597057 + ... + 100038597183.

Almost surely, 2^{12704901834240} is an apocalyptic number.

12704901834240 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 12704901834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30497741733888).

12704901834240 is an abundant number, since it is smaller than the sum of its proper divisors (48290581633536).

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

12704901834240 is a wasteful number, since it uses less digits than its factorization.

12704901834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12704901834240 in words is "twelve trillion, seven hundred four billion, nine hundred one million, eight hundred thirty-four thousand, two hundred forty".