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126215207712 = 25321149979841
BaseRepresentation
bin111010110001100000…
…0110011101100100000
3110001210011011212122200
41311203000303230200
54031442043121322
6133552113533200
712055505364336
oct1654300635440
9401704155580
10126215207712
1149589215720
1220565274200
13bb95a33479
146174975b56
15343a94d8ac
hex1d63033b20

126215207712 has 144 divisors (see below), whose sum is σ = 392343588000. Its totient is φ = 38169907200.

The previous prime is 126215207707. The next prime is 126215207761. The reversal of 126215207712 is 217702512621.

126215207712 is a `hidden beast` number, since 1 + 2 + 62 + 1 + 520 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1540912 + ... + 1620752.

It is an arithmetic number, because the mean of its divisors is an integer number (2724608250).

Almost surely, 2126215207712 is an apocalyptic number.

126215207712 is a gapful number since it is divisible by the number (12) 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 126215207712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196171794000).

126215207712 is an abundant number, since it is smaller than the sum of its proper divisors (266128380288).

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

126215207712 is a wasteful number, since it uses less digits than its factorization.

126215207712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80367 (or 80356 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 126215207712 in words is "one hundred twenty-six billion, two hundred fifteen million, two hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 499 528 792 998 1056 1497 1584 1996 2994 3168 3992 4491 5489 5988 7984 8982 10978 11976 15968 16467 17964 21956 23952 32934 35928 43912 47904 49401 65868 71856 79841 87824 98802 131736 143712 159682 175648 197604 239523 263472 319364 395208 479046 526944 638728 718569 790416 878251 958092 1277456 1437138 1580832 1756502 1916184 2554912 2634753 2874276 3513004 3832368 5269506 5748552 7026008 7664736 7904259 10539012 11497104 14052016 15808518 21078024 22994208 28104032 31617036 39840659 42156048 63234072 79681318 84312096 119521977 126468144 159362636 239043954 252936288 318725272 358565931 438247249 478087908 637450544 717131862 876494498 956175816 1274901088 1314741747 1434263724 1752988996 1912351632 2629483494 2868527448 3505977992 3824703264 3944225241 5258966988 5737054896 7011955984 7888450482 10517933976 11474109792 14023911968 15776900964 21035867952 31553801928 42071735904 63107603856 126215207712