129335222016 has 1728 divisors, whose sum is σ = 543976882176. Its totient is φ = 29561241600.

The previous prime is 129335221979. The next prime is 129335222057. The reversal of 129335222016 is 610222533921.

129335222016 is a `hidden beast` number, since 1 + 293 + 352 + 2 + 2 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×129335222016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1930376415 + ... + 1930376481.

Almost surely, 2^129335222016 is an apocalyptic number.

129335222016 is a gapful number since it is divisible by the number (16) 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 129335222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271988441088).

129335222016 is an abundant number, since it is smaller than the sum of its proper divisors (414641660160).

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

129335222016 is a wasteful number, since it uses less digits than its factorization.

129335222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 129335222016 its reverse (610222533921), we get a palindrome (739557755937).

The spelling of 129335222016 in words is "one hundred twenty-nine billion, three hundred thirty-five million, two hundred twenty-two thousand, sixteen".