129906081098976 has 288 divisors, whose sum is σ = 449674900133760. Its totient is φ = 32457736571904.

The previous prime is 129906081098929. The next prime is 129906081098977. The reversal of 129906081098976 is 679890180609921.

It is a junction number, because it is equal to n+sod(n) for n = 129906081098898 and 129906081098907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129906081098977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54741126 + ... + 57064901.

It is an arithmetic number, because the mean of its divisors is an integer number (1561371181020).

Almost surely, 2^{129906081098976} is an apocalyptic number.

129906081098976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129906081098976 is an abundant number, since it is smaller than the sum of its proper divisors (319768819034784).

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

129906081098976 is a wasteful number, since it uses less digits than its factorization.

129906081098976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111806086 (or 111806071 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 75.

The spelling of 129906081098976 in words is "one hundred twenty-nine trillion, nine hundred six billion, eighty-one million, ninety-eight thousand, nine hundred seventy-six".