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12002023013232 = 2437210747690663
BaseRepresentation
bin1010111010100111000001…
…0100010111101101110000
31120111101022121201211020110
42232221300110113231300
53033120120342410412
641305353034141320
72346055214233200
oct256516024275560
946441277654213
1012002023013232
11390803610a66a
12141a0a5281840
13690a2a863a35
142d6c88548400
1515c30082bd3c
hexaea70517b70

12002023013232 has 120 divisors (see below), whose sum is σ = 36404382220416. Its totient is φ = 3397101235584.

The previous prime is 12002023013219. The next prime is 12002023013249. The reversal of 12002023013232 is 23231032020021.

It is a happy number.

12002023013232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12002023013199 and 12002023013208.

It is a congruent number.

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, 23593668 + ... + 24096995.

Almost surely, 212002023013232 is an apocalyptic number.

12002023013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002023013232 is an abundant number, since it is smaller than the sum of its proper divisors (24402359207184).

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

12002023013232 is a wasteful number, since it uses less digits than its factorization.

12002023013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47690795 (or 47690782 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12002023013232 its reverse (23231032020021), we get a palindrome (35233055033253).

The spelling of 12002023013232 in words is "twelve trillion, two billion, twenty-three million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 107 112 147 168 196 214 294 321 336 392 428 588 642 749 784 856 1176 1284 1498 1712 2247 2352 2568 2996 4494 5136 5243 5992 8988 10486 11984 15729 17976 20972 31458 35952 41944 62916 83888 125832 251664 47690663 95381326 143071989 190762652 286143978 333834641 381525304 572287956 667669282 763050608 1001503923 1144575912 1335338564 2003007846 2289151824 2336842487 2670677128 4006015692 4673684974 5102900941 5341354256 7010527461 8012031384 9347369948 10205801882 14021054922 15308702823 16024062768 18694739896 20411603764 28042109844 30617405646 35720306587 37389479792 40823207528 56084219688 61234811292 71440613174 81646415056 107160919761 112168439376 122469622584 142881226348 214321839522 244939245168 250042146109 285762452696 428643679044 500084292218 571524905392 750126438327 857287358088 1000168584436 1500252876654 1714574716176 2000337168872 3000505753308 4000674337744 6001011506616 12002023013232