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12114847488 = 283197091171
BaseRepresentation
bin10110100100001100…
…11110011100000000
31011021022020000111010
423102012132130000
5144302400104423
65322051120520
7606134335032
oct132206363400
934238200433
1012114847488
115157574257
1224212a3140
1311b0ba6413
1482cd95c52
154ad8a9693
hex2d219e700

12114847488 has 144 divisors (see below), whose sum is σ = 34017065600. Its totient is φ = 3817082880.

The previous prime is 12114847483. The next prime is 12114847519. The reversal of 12114847488 is 88474841121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114847483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10345143 + ... + 10346313.

Almost surely, 212114847488 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 12114847488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008532800).

12114847488 is an abundant number, since it is smaller than the sum of its proper divisors (21902218112).

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

12114847488 is a wasteful number, since it uses less digits than its factorization.

12114847488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1904 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The spelling of 12114847488 in words is "twelve billion, one hundred fourteen million, eight hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 709 768 912 1171 1216 1418 1824 2127 2342 2432 2836 3513 3648 4254 4684 4864 5672 7026 7296 8508 9368 11344 13471 14052 14592 17016 18736 22249 22688 26942 28104 34032 37472 40413 44498 45376 53884 56208 66747 68064 74944 80826 88996 90752 107768 112416 133494 136128 149888 161652 177992 181504 215536 224832 266988 272256 299776 323304 355984 431072 449664 533976 544512 646608 711968 830239 862144 899328 1067952 1293216 1423936 1660478 1724288 2135904 2490717 2586432 2847872 3320956 3448576 4271808 4981434 5172864 5695744 6641912 8543616 9962868 10345728 13283824 15774541 17087232 19925736 26567648 31549082 39851472 47323623 53135296 63098164 79702944 94647246 106270592 126196328 159405888 189294492 212541184 252392656 318811776 378588984 504785312 637623552 757177968 1009570624 1514355936 2019141248 3028711872 4038282496 6057423744 12114847488