129101861290000 has 75 divisors (see below), whose sum is σ = 312571267319883. Its totient is φ = 51640290024000.

The previous prime is 129101861289977. The next prime is 129101861290007. The reversal of 129101861290000 is 92168101921.

The square root of 129101861290000 is 11362300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10121585925136 + 118980275364864 = 3181444^2 + 10907808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129101861290007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1136173189 + ... + 1136286811.

Almost surely, 2^{129101861290000} is an apocalyptic number.

129101861290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129101861290000 is the 11362300-th square number.

It is an amenable number.

129101861290000 is an abundant number, since it is smaller than the sum of its proper divisors (183469406029883).

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

129101861290000 is an frugal number, since it uses more digits than its factorization.

129101861290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227274 (or 113630 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 129101861290000 in words is "one hundred twenty-nine trillion, one hundred one billion, eight hundred sixty-one million, two hundred ninety thousand".