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12999907188 = 2233238236359
BaseRepresentation
bin11000001101101101…
…01101011101110100
31020112222121201011000
430012312231131310
5203110434012223
65545545043300
7640102250022
oct140666553564
936488551130
1012999907188
115571121754
122629786530
1312c236b698
148b4743712
15511434543
hex306dad774

12999907188 has 96 divisors (see below), whose sum is σ = 35217100800. Its totient is φ = 4139210592.

The previous prime is 12999907171. The next prime is 12999907229. The reversal of 12999907188 is 88170999921.

It is a super-2 number, since 2×129999071882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2041153 + ... + 2047511.

It is an arithmetic number, because the mean of its divisors is an integer number (366844800).

Almost surely, 212999907188 is an apocalyptic number.

12999907188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12999907188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608550400).

12999907188 is an abundant number, since it is smaller than the sum of its proper divisors (22217193612).

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

12999907188 is a wasteful number, since it uses less digits than its factorization.

12999907188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 63.

The spelling of 12999907188 in words is "twelve billion, nine hundred ninety-nine million, nine hundred seven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 823 828 1242 1646 2469 2484 3292 4938 6359 7407 9876 12718 14814 18929 19077 22221 25436 29628 37858 38154 44442 56787 57231 75716 76308 88884 113574 114462 146257 170361 171693 227148 228924 292514 340722 343386 438771 511083 585028 681444 686772 877542 1022166 1316313 1755084 2044332 2632626 3948939 5233457 5265252 7897878 10466914 15700371 15795756 20933828 31400742 47101113 62801484 94202226 120369511 141303339 188404452 240739022 282606678 361108533 481478044 565213356 722217066 1083325599 1444434132 2166651198 3249976797 4333302396 6499953594 12999907188