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12042201204 = 223311383773
BaseRepresentation
bin10110011011100010…
…10110100001110100
31011002020112012112000
423031301112201310
5144130300414304
65310534055300
7604263010215
oct131561264164
934066465460
1012042201204
11511a566000
122400aaa530
13119bb1c257
1482348540c
154a7309939
hex2cdc56874

12042201204 has 96 divisors (see below), whose sum is σ = 34340638080. Its totient is φ = 3649108320.

The previous prime is 12042201187. The next prime is 12042201271. The reversal of 12042201204 is 40210224021.

12042201204 is a `hidden beast` number, since 120 + 422 + 0 + 120 + 4 = 666.

12042201204 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 (18).

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 31 ways as a sum of consecutive naturals, for example, 101862 + ... + 185634.

It is an arithmetic number, because the mean of its divisors is an integer number (357714980).

Almost surely, 212042201204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170319040).

12042201204 is an abundant number, since it is smaller than the sum of its proper divisors (22298436876).

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

12042201204 is a wasteful number, since it uses less digits than its factorization.

12042201204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83819 (or 83789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12042201204 its reverse (40210224021), we get a palindrome (52252425225).

The spelling of 12042201204 in words is "twelve billion, forty-two million, two hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1331 1452 2178 2662 3267 3993 4356 5324 6534 7986 11979 13068 15972 23958 35937 47916 71874 83773 143748 167546 251319 335092 502638 753957 921503 1005276 1507914 1843006 2261871 2764509 3015828 3686012 4523742 5529018 8293527 9047484 10136533 11058036 16587054 20273066 24880581 30409599 33174108 40546132 49761162 60819198 91228797 99522324 111501863 121638396 182457594 223003726 273686391 334505589 364915188 446007452 547372782 669011178 1003516767 1094745564 1338022356 2007033534 3010550301 4014067068 6021100602 12042201204