12749534703000 has 1536 divisors, whose sum is σ = 47851195392000. Its totient is φ = 3169435392000.

The previous prime is 12749534702941. The next prime is 12749534703011. The reversal of 12749534703000 is 30743594721.

12749534703000 is a `hidden beast` number, since 1 + 2 + 7 + 49 + 534 + 70 + 3 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41529428847 + ... + 41529429153.

It is an arithmetic number, because the mean of its divisors is an integer number (31153122000).

Almost surely, 2^{12749534703000} is an apocalyptic number.

12749534703000 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 12749534703000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925597696000).

12749534703000 is an abundant number, since it is smaller than the sum of its proper divisors (35101660689000).

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

12749534703000 is a wasteful number, since it uses less digits than its factorization.

12749534703000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 12749534703000 in words is "twelve trillion, seven hundred forty-nine billion, five hundred thirty-four million, seven hundred three thousand".