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12001201320 = 2335107934673
BaseRepresentation
bin10110010110101001…
…11100110010101000
31010222101101012020210
423023110330302220
5144034301420240
65302511221120
7603254346063
oct131324746250
933871335223
1012001201320
1150a94021a9
1223ab2177a0
131193495574
1481bc518da
154a390b780
hex2cb53cca8

12001201320 has 64 divisors (see below), whose sum is σ = 36340125120. Its totient is φ = 3170407424.

The previous prime is 12001201313. The next prime is 12001201379. The reversal of 12001201320 is 2310210021.

12001201320 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-3 number, since 3×120012013203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12001201296 and 12001201305.

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 15 ways as a sum of consecutive naturals, for example, 454497 + ... + 480176.

It is an arithmetic number, because the mean of its divisors is an integer number (567814455).

Almost surely, 212001201320 is an apocalyptic number.

12001201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001201320 is an abundant number, since it is smaller than the sum of its proper divisors (24338923800).

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

12001201320 is a wasteful number, since it uses less digits than its factorization.

12001201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934794 (or 934790 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12001201320 its reverse (2310210021), we get a palindrome (14311411341).

The spelling of 12001201320 in words is "twelve billion, one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 934673 1869346 2804019 3738692 4673365 5608038 7477384 9346730 11216076 14020095 18693460 22432152 28040190 37386920 56080380 100010011 112160760 200020022 300030033 400040044 500050055 600060066 800080088 1000100110 1200120132 1500150165 2000200220 2400240264 3000300330 4000400440 6000600660 12001201320