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12042213012 = 22323131068709
BaseRepresentation
bin10110011011100010…
…11001011010010100
31011002020112210201100
423031301121122110
5144130301304022
65310534230100
7604263056514
oct131561313224
934066483640
1012042213012
11511a573965
122400ab5330
13119bb2473b
14823489844
154a730d1ac
hex2cdc59694

12042213012 has 36 divisors (see below), whose sum is σ = 30537319540. Its totient is φ = 4001242752.

The previous prime is 12042212989. The next prime is 12042213013. The reversal of 12042213012 is 21031224021.

It is a happy number.

12042213012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2721082896 + 9321130116 = 52164^2 + 96546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120422130122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042213013) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 523087 + ... + 545622.

Almost surely, 212042213012 is an apocalyptic number.

12042213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12042213012 is an abundant number, since it is smaller than the sum of its proper divisors (18495106528).

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

12042213012 is a wasteful number, since it uses less digits than its factorization.

12042213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069032 (or 1069027 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12042213012 its reverse (21031224021), we get a palindrome (33073437033).

The spelling of 12042213012 in words is "twelve billion, forty-two million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 1068709 2137418 3206127 4274836 6412254 9618381 12824508 19236762 38473524 334505917 669011834 1003517751 1338023668 2007035502 3010553253 4014071004 6021106506 12042213012