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129081093120 = 210325723127137
BaseRepresentation
bin111100000110111010…
…1010010110000000000
3110100011212211221100200
41320031311102300000
54103324224434440
6135144331445200
712216515121360
oct1701565226000
9410155757320
10129081093120
114a819a03861
1221024bb6800
13c2316bb455
14636742a9a0
15355734ec30
hex1e0dd52c00

129081093120 has 1056 divisors, whose sum is σ = 541505323008. Its totient is φ = 27794866176.

The previous prime is 129081093101. The next prime is 129081093131. The reversal of 129081093120 is 21390180921.

It is a super-2 number, since 2×1290810931202 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942197692 + ... + 942197828.

Almost surely, 2129081093120 is an apocalyptic number.

129081093120 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 129081093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270752661504).

129081093120 is an abundant number, since it is smaller than the sum of its proper divisors (412424229888).

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

129081093120 is a wasteful number, since it uses less digits than its factorization.

129081093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 129081093120 in words is "one hundred twenty-nine billion, eighty-one million, ninety-three thousand, one hundred twenty".