| Base | Representation |
|---|---|
| bin | 10110100110010010… |
| … | …01011101101101000 |
| 3 | 1011022112010110002000 |
| 4 | 23103021023231220 |
| 5 | 144321334200230 |
| 6 | 5323514011000 |
| 7 | 606436066302 |
| oct | 132311135550 |
| 9 | 34275113060 |
| 10 | 12132334440 |
| 11 | 5166428486 |
| 12 | 2427116a60 |
| 13 | 11b46b9a25 |
| 14 | 831428972 |
| 15 | 4b01b0b60 |
| hex | 2d324bb68 |
12132334440 has 256 divisors, whose sum is σ = 42169248000. Its totient is φ = 3098833920.
The previous prime is 12132334399. The next prime is 12132334451. The reversal of 12132334440 is 4443323121.
12132334440 is a `hidden beast` number, since 1 + 213 + 2 + 3 + 3 + 4 + 440 = 666.
12132334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×121323344402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4101442 + ... + 4104398.
It is an arithmetic number, because the mean of its divisors is an integer number (164723625).
Almost surely, 212132334440 is an apocalyptic number.
12132334440 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 12132334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084624000).
12132334440 is an abundant number, since it is smaller than the sum of its proper divisors (30036913560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12132334440 is a wasteful number, since it uses less digits than its factorization.
12132334440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3137 (or 3127 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 12132334440 its reverse (4443323121), we get a palindrome (16575657561).
The spelling of 12132334440 in words is "twelve billion, one hundred thirty-two million, three hundred thirty-four thousand, four hundred forty".
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