129216413160000 has 1400 divisors, whose sum is σ = 528839692128000. Its totient is φ = 31020447744000.

The previous prime is 129216413159969. The next prime is 129216413160071. The reversal of 129216413160000 is 61314612921.

It is a happy number.

129216413160000 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 1 + 6 + 41 + 3 + 1 + 600 + 0 + 0 = 666.

It is a super-3 number, since 3×129216413160000³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1266789001 + ... + 1266890999.

Almost surely, 2^{129216413160000} is an apocalyptic number.

129216413160000 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 129216413160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264419846064000).

129216413160000 is an abundant number, since it is smaller than the sum of its proper divisors (399623278968000).

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

129216413160000 is a wasteful number, since it uses less digits than its factorization.

129216413160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102083 (or 102049 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 129216413160000 its reverse (61314612921), we get a palindrome (129277727772921).

The spelling of 129216413160000 in words is "one hundred twenty-nine trillion, two hundred sixteen billion, four hundred thirteen million, one hundred sixty thousand".