129221233680000 has 3840 divisors, whose sum is σ = 580798384024320. Its totient is φ = 24816844800000.

The previous prime is 129221233679999. The next prime is 129221233680001. The reversal of 129221233680000 is 86332122921.

It is an interprime number because it is at equal distance from previous prime (129221233679999) and next prime (129221233680001).

It is not an unprimeable number, because it can be changed into a prime (129221233680001) 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 479 ways as a sum of consecutive naturals, for example, 210801359694 + ... + 210801360306.

It is an arithmetic number, because the mean of its divisors is an integer number (151249579173).

Almost surely, 2^{129221233680000} is an apocalyptic number.

129221233680000 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 129221233680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290399192012160).

129221233680000 is an abundant number, since it is smaller than the sum of its proper divisors (451577150344320).

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

129221233680000 is a wasteful number, since it uses less digits than its factorization.

129221233680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 129221233680000 in words is "one hundred twenty-nine trillion, two hundred twenty-one billion, two hundred thirty-three million, six hundred eighty thousand".