10129343641200 has 900 divisors, whose sum is σ = 44776337693472. Its totient is φ = 2179079884800.

The previous prime is 10129343641199. The next prime is 10129343641237. The reversal of 10129343641200 is 214634392101.

10129343641200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 3 + 4 + 3 + 641 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26801545 + ... + 27176855.

Almost surely, 2^{10129343641200} is an apocalyptic number.

10129343641200 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 10129343641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22388168846736).

10129343641200 is an abundant number, since it is smaller than the sum of its proper divisors (34646994052272).

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

10129343641200 is a wasteful number, since it uses less digits than its factorization.

10129343641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375372 (or 375345 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10129343641200 in words is "ten trillion, one hundred twenty-nine billion, three hundred forty-three million, six hundred forty-one thousand, two hundred".