12901454982000 has 1600 divisors, whose sum is σ = 52782569199360. Its totient is φ = 3015097344000.

The previous prime is 12901454981981. The next prime is 12901454982007. The reversal of 12901454982000 is 28945410921.

It is a happy number.

12901454982000 is a `hidden beast` number, since 1 + 2 + 90 + 1 + 454 + 98 + 20 + 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 not an unprimeable number, because it can be changed into a prime (12901454982007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3725512269 + ... + 3725515731.

Almost surely, 2^{12901454982000} is an apocalyptic number.

12901454982000 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 12901454982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26391284599680).

12901454982000 is an abundant number, since it is smaller than the sum of its proper divisors (39881114217360).

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

12901454982000 is a wasteful number, since it uses less digits than its factorization.

12901454982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12901454982000 in words is "twelve trillion, nine hundred one billion, four hundred fifty-four million, nine hundred eighty-two thousand".