3129005550000 has 720 divisors, whose sum is σ = 11759847134112. Its totient is φ = 713856000000.

The previous prime is 3129005549933. The next prime is 3129005550001. The reversal of 3129005550000 is 555009213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3129005550000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129005550001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 308544930 + ... + 308555070.

Almost surely, 2^{3129005550000} is an apocalyptic number.

3129005550000 is a gapful number since it is divisible by the number (30) 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 3129005550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879923567056).

3129005550000 is an abundant number, since it is smaller than the sum of its proper divisors (8630841584112).

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

3129005550000 is a wasteful number, since it uses less digits than its factorization.

3129005550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 3129005550000 in words is "three trillion, one hundred twenty-nine billion, five million, five hundred fifty thousand".