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12200302002 = 23719103151983
BaseRepresentation
bin10110101110011000…
…11101010110110010
31011111021000120001010
423113030131112302
5144441234131002
65334342451350
7611222566410
oct132714352662
934437016033
1012200302002
1151a0830519
122445a33b56
1311c57c6415
1483a47c2b0
154b613946c
hex2d731d5b2

12200302002 has 128 divisors (see below), whose sum is σ = 29865738240. Its totient is φ = 3245313600.

The previous prime is 12200301977. The next prime is 12200302007. The reversal of 12200302002 is 20020300221.

It is not an unprimeable number, because it can be changed into a prime (12200302007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12410803 + ... + 12411785.

It is an arithmetic number, because the mean of its divisors is an integer number (233326080).

Almost surely, 212200302002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200302002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932869120).

12200302002 is an abundant number, since it is smaller than the sum of its proper divisors (17665436238).

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

12200302002 is a wasteful number, since it uses less digits than its factorization.

12200302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12200302002 its reverse (20020300221), we get a palindrome (32220602223).

The spelling of 12200302002 in words is "twelve billion, two hundred million, three hundred two thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 103 114 133 151 206 266 302 309 399 453 618 721 798 906 983 1057 1442 1957 1966 2114 2163 2869 2949 3171 3914 4326 5738 5871 5898 6342 6881 8607 11742 13699 13762 15553 17214 18677 20083 20643 27398 31106 37354 40166 41097 41286 46659 56031 60249 82194 93318 101249 108871 112062 120498 130739 148433 202498 217742 261478 295507 296866 303747 326613 392217 445299 591014 607494 653226 708743 784434 886521 890598 1039031 1417486 1773042 1923731 2068549 2078062 2126229 2820227 3117093 3847462 4137098 4252458 5640454 5771193 6205647 6234186 8460681 11542386 12411294 13466117 15288599 16921362 19741589 26932234 30577198 39483178 40398351 45865797 59224767 80796702 91731594 107020193 118449534 214040386 290483381 321060579 580966762 642121158 871450143 1742900286 2033383667 4066767334 6100151001 12200302002