129820239544320 has 2400 divisors, whose sum is σ = 529885988459520. Its totient is φ = 30178981969920.

The previous prime is 129820239544271. The next prime is 129820239544379. The reversal of 129820239544320 is 23445932028921.

129820239544320 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 202 + 395 + 4 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114986925516 + ... + 114986926644.

Almost surely, 2^{129820239544320} is an apocalyptic number.

129820239544320 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 129820239544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264942994229760).

129820239544320 is an abundant number, since it is smaller than the sum of its proper divisors (400065748915200).

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

129820239544320 is a wasteful number, since it uses less digits than its factorization.

129820239544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 129820239544320 in words is "one hundred twenty-nine trillion, eight hundred twenty billion, two hundred thirty-nine million, five hundred forty-four thousand, three hundred twenty".