| Base | Representation |
|---|---|
| bin | 10110100110000001… |
| … | …01111000101000000 |
| 3 | 1011022100221221102201 |
| 4 | 23103000233011000 |
| 5 | 144320302320000 |
| 6 | 5323354322544 |
| 7 | 606411214225 |
| oct | 132300570500 |
| 9 | 34270857381 |
| 10 | 12130120000 |
| 11 | 5165155769 |
| 12 | 2426429454 |
| 13 | 11b40c2acb |
| 14 | 83100d94c |
| 15 | 4aedc496a |
| hex | 2d302f140 |
12130120000 has 140 divisors (see below), whose sum is σ = 31118929380. Its totient is φ = 4684288000.
The previous prime is 12130119979. The next prime is 12130120003. The reversal of 12130120000 is 2103121.
It can be written as a sum of positive squares in 10 ways, for example, as 6501519424 + 5628600576 = 80632^2 + 75024^2 .
It is a super-2 number, since 2×121301200002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12130120003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1154772 + ... + 1165228.
It is an arithmetic number, because the mean of its divisors is an integer number (222278067).
Almost surely, 212130120000 is an apocalyptic number.
12130120000 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 12130120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559464690).
12130120000 is an abundant number, since it is smaller than the sum of its proper divisors (18988809380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12130120000 is an equidigital number, since it uses as much as digits as its factorization.
12130120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10518 (or 10493 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 12130120000 its reverse (2103121), we get a palindrome (12132223121).
The spelling of 12130120000 in words is "twelve billion, one hundred thirty million, one hundred twenty thousand".
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