12894102000 has 240 divisors, whose sum is σ = 48499895808. Its totient is φ = 3173875200.

The previous prime is 12894101989. The next prime is 12894102007. The reversal of 12894102000 is 20149821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894102007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206449 + ... + 261551.

Almost surely, 2^12894102000 is an apocalyptic number.

12894102000 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 12894102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249947904).

12894102000 is an abundant number, since it is smaller than the sum of its proper divisors (35605793808).

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

12894102000 is a wasteful number, since it uses less digits than its factorization.

12894102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55145 (or 55126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12894102000 in words is "twelve billion, eight hundred ninety-four million, one hundred two thousand".