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129841821312 = 273731675903
BaseRepresentation
bin111100011101100101…
…1001111011010000000
3110102010220021221020220
41320323023033122000
54111404001240222
6135352024503040
712244413162000
oct1707313173200
9412126257226
10129841821312
115007a361145
12211b791aa80
13c3231a1088
1463da492000
15359e01ab5c
hex1e3b2cf680

129841821312 has 256 divisors, whose sum is σ = 404683776000. Its totient is φ = 36869274624.

The previous prime is 129841821299. The next prime is 129841821313. The reversal of 129841821312 is 213128148921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (129841821313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21992953 + ... + 21998855.

It is an arithmetic number, because the mean of its divisors is an integer number (1580796000).

Almost surely, 2129841821312 is an apocalyptic number.

129841821312 is a gapful number since it is divisible by the number (12) 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 129841821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202341888000).

129841821312 is an abundant number, since it is smaller than the sum of its proper divisors (274841954688).

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

129841821312 is an equidigital number, since it uses as much as digits as its factorization.

129841821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6082 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 129841821312 in words is "one hundred twenty-nine billion, eight hundred forty-one million, eight hundred twenty-one thousand, three hundred twelve".