129226227742080 has 2560 divisors, whose sum is σ = 579752515584000. Its totient is φ = 27339112120320.

The previous prime is 129226227742043. The next prime is 129226227742121. The reversal of 129226227742080 is 80247722622921.

It is a happy number.

129226227742080 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 2 + 622 + 7 + 7 + 4 + 2 + 0 + 8 + 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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12677933464 + ... + 12677943656.

It is an arithmetic number, because the mean of its divisors is an integer number (226465826400).

Almost surely, 2^{129226227742080} is an apocalyptic number.

129226227742080 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 129226227742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289876257792000).

129226227742080 is an abundant number, since it is smaller than the sum of its proper divisors (450526287841920).

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

129226227742080 is a wasteful number, since it uses less digits than its factorization.

129226227742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 129226227742080 in words is "one hundred twenty-nine trillion, two hundred twenty-six billion, two hundred twenty-seven million, seven hundred forty-two thousand, eighty".