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12034421300 = 22521182713229
BaseRepresentation
bin10110011010100111…
…01011001000110100
31011001200212221111102
423031103223020310
5144121302440200
65310055225232
7604136615246
oct131523531064
934050787442
1012034421300
115116131930
1223ba378218
13119a327065
1482241c096
154a67be6d5
hex2cd4eb234

12034421300 has 72 divisors (see below), whose sum is σ = 28525361760. Its totient is φ = 4370531200.

The previous prime is 12034421297. The next prime is 12034421327. The reversal of 12034421300 is 312443021.

12034421300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 903086 + ... + 916314.

It is an arithmetic number, because the mean of its divisors is an integer number (396185580).

Almost surely, 212034421300 is an apocalyptic number.

12034421300 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 12034421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262680880).

12034421300 is an abundant number, since it is smaller than the sum of its proper divisors (16490940460).

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

12034421300 is a wasteful number, since it uses less digits than its factorization.

12034421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12034421300 its reverse (312443021), we get a palindrome (12346864321).

It can be divided in two parts, 12034 and 421300, that added together give a palindrome (433334).

The spelling of 12034421300 in words is "twelve billion, thirty-four million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 827 1100 1654 3308 4135 8270 9097 13229 16540 18194 20675 26458 36388 41350 45485 52916 66145 82700 90970 132290 145519 181940 227425 264580 291038 330725 454850 582076 661450 727595 909700 1322900 1455190 2910380 3637975 7275950 10940383 14551900 21880766 43761532 54701915 109403830 120344213 218807660 240688426 273509575 481376852 547019150 601721065 1094038300 1203442130 2406884260 3008605325 6017210650 12034421300