129142591049472 has 864 divisors, whose sum is σ = 488439854622720. Its totient is φ = 29333570273280.

The previous prime is 129142591049467. The next prime is 129142591049473. The reversal of 129142591049472 is 274940195241921.

It is a super-3 number, since 3×129142591049472³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129142591049473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189545643 + ... + 190225749.

Almost surely, 2^{129142591049472} is an apocalyptic number.

129142591049472 is a gapful number since it is divisible by the number (12) 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 129142591049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244219927311360).

129142591049472 is an abundant number, since it is smaller than the sum of its proper divisors (359297263573248).

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

129142591049472 is a wasteful number, since it uses less digits than its factorization.

129142591049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680189 (or 680162 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 129142591049472 in words is "one hundred twenty-nine trillion, one hundred forty-two billion, five hundred ninety-one million, forty-nine thousand, four hundred seventy-two".