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12013411312 = 247414755663
BaseRepresentation
bin10110011000000111…
…00001101111110000
31011000020100112012201
423030003201233300
5144100413130222
65304025032544
7603463211530
oct131403415760
934006315181
1012013411312
115105291801
1223b3325754
131195b7c006
1481d70d4c0
154a4a1e427
hex2cc0e1bf0

12013411312 has 80 divisors (see below), whose sum is σ = 27830218752. Its totient is φ = 4916067840.

The previous prime is 12013411279. The next prime is 12013411351. The reversal of 12013411312 is 21311431021.

It is a super-2 number, since 2×120134113122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12013411312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187993 + ... + 243655.

Almost surely, 212013411312 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 12013411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915109376).

12013411312 is an abundant number, since it is smaller than the sum of its proper divisors (15816807440).

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

12013411312 is a wasteful number, since it uses less digits than its factorization.

12013411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55766 (or 55760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12013411312 its reverse (21311431021), we get a palindrome (33324842333).

The spelling of 12013411312 in words is "twelve billion, thirteen million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 47 56 82 94 112 164 188 287 328 329 376 574 656 658 752 1148 1316 1927 2296 2632 3854 4592 5264 7708 13489 15416 26978 30832 53956 55663 107912 111326 215824 222652 389641 445304 779282 890608 1558564 2282183 2616161 3117128 4564366 5232322 6234256 9128732 10464644 15975281 18257464 18313127 20929288 31950562 36514928 36626254 41858576 63901124 73252508 107262601 127802248 146505016 214525202 255604496 293010032 429050404 750838207 858100808 1501676414 1716201616 3003352828 6006705656 12013411312