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12334121300 = 2252317389089
BaseRepresentation
bin10110111110010101…
…11100000101010100
31011211120211021121102
423133022330011110
5200230013340200
65355523005232
7614436205214
oct133712740524
934746737542
1012334121300
11525a320986
122482809818
13121744b437
14850154244
154c2c6e6d5
hex2df2bc154

12334121300 has 36 divisors (see below), whose sum is σ = 26849544540. Its totient is φ = 4918072320.

The previous prime is 12334121297. The next prime is 12334121309. The reversal of 12334121300 is 312143321.

It can be written as a sum of positive squares in 6 ways, for example, as 2356908304 + 9977212996 = 48548^2 + 99886^2 .

It is a super-2 number, since 2×123341213002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334121309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162845 + ... + 226244.

Almost surely, 212334121300 is an apocalyptic number.

12334121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334121300 is an abundant number, since it is smaller than the sum of its proper divisors (14515423240).

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

12334121300 is a wasteful number, since it uses less digits than its factorization.

12334121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389420 (or 389413 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12334121300 its reverse (312143321), we get a palindrome (12646264621).

The spelling of 12334121300 in words is "twelve billion, three hundred thirty-four million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 6340 7925 15850 31700 389089 778178 1556356 1945445 3890890 7781780 9727225 19454450 38908900 123341213 246682426 493364852 616706065 1233412130 2466824260 3083530325 6167060650 12334121300