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12002312302232 = 2372947541290659
BaseRepresentation
bin1010111010101000000110…
…0011111010111010011000
31120111102001210002020010212
42232222001203322322120
53033121213422132412
641305441450430252
72346065326162310
oct256520143727230
946442053066125
1012002312302232
11390817443878a
12141a166132388
13690a75781465
142d6cb4b30440
1515c31ae22222
hexaea818fae98

12002312302232 has 128 divisors (see below), whose sum is σ = 27222518016000. Its totient is φ = 4851802851840.

The previous prime is 12002312302193. The next prime is 12002312302249. The reversal of 12002312302232 is 23220321320021.

12002312302232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120023123022322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002312302198 and 12002312302207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41148119 + ... + 41438777.

It is an arithmetic number, because the mean of its divisors is an integer number (212675922000).

Almost surely, 212002312302232 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 12002312302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611259008000).

12002312302232 is an abundant number, since it is smaller than the sum of its proper divisors (15220205713768).

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

12002312302232 is a wasteful number, since it uses less digits than its factorization.

12002312302232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291289 (or 291285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12002312302232 its reverse (23220321320021), we get a palindrome (35222633622253).

The spelling of 12002312302232 in words is "twelve trillion, two billion, three hundred twelve million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 47 56 58 94 116 188 203 232 329 376 406 541 658 812 1082 1316 1363 1624 2164 2632 2726 3787 4328 5452 7574 9541 10904 15148 15689 19082 25427 30296 31378 38164 50854 62756 76328 101708 109823 125512 177989 203416 219646 290659 355978 439292 581318 711956 737383 878584 1162636 1423912 1474766 2034613 2325272 2949532 4069226 5161681 5899064 8138452 8429111 10323362 13660973 16276904 16858222 20646724 27321946 33716444 41293448 54643892 59003777 67432888 95626811 109287784 118007554 157246519 191253622 236015108 314493038 382507244 396168217 472030216 628986076 765014488 792336434 1100725633 1257972152 1584672868 2201451266 2773177519 3169345736 4402902532 4560149051 5546355038 7390586393 8805805064 9120298102 11092710076 14781172786 18240596204 22185420152 29562345572 31921043357 36481192408 51734104751 59124691144 63842086714 103468209502 127684173428 206936419004 214327005397 255368346856 413872838008 428654010794 857308021588 1500289037779 1714616043176 3000578075558 6001156151116 12002312302232