Base | Representation |
---|---|
bin | 10110111100111010… |
… | …01010000101100000 |
3 | 1011210202020112222000 |
4 | 23132131022011200 |
5 | 200213430320112 |
6 | 5354413444000 |
7 | 614232202125 |
oct | 133635120540 |
9 | 34722215860 |
10 | 12322120032 |
11 | 5253574182 |
12 | 247a7a0600 |
13 | 1214b089b1 |
14 | 84c70c74c |
15 | 4c1b9d7dc |
hex | 2de74a160 |
12322120032 has 96 divisors (see below), whose sum is σ = 36017654400. Its totient is φ = 4098443904.
The previous prime is 12322120021. The next prime is 12322120051. The reversal of 12322120032 is 23002122321.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12322119987 and 12322120014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388219 + ... + 418757.
It is an arithmetic number, because the mean of its divisors is an integer number (375183900).
Almost surely, 212322120032 is an apocalyptic number.
12322120032 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 12322120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008827200).
12322120032 is an abundant number, since it is smaller than the sum of its proper divisors (23695534368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12322120032 is a wasteful number, since it uses less digits than its factorization.
12322120032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31025 (or 31011 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 12322120032 its reverse (23002122321), we get a palindrome (35324242353).
The spelling of 12322120032 in words is "twelve billion, three hundred twenty-two million, one hundred twenty thousand, thirty-two".
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