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12003210034192 = 2413471913964153
BaseRepresentation
bin1010111010101011011100…
…0100011111110000010000
31120111111101100022201212201
42232222313010133300100
53033130033232043232
641310110520132544
72346126506603536
oct256526704376020
946444340281781
1012003210034192
113908595161023
12141a376907154
13690b897626c0
142d6d5c05a156
1515c36eb51be7
hexaeab711fc10

12003210034192 has 80 divisors (see below), whose sum is σ = 25579770289920. Its totient is φ = 5421704150016.

The previous prime is 12003210034183. The next prime is 12003210034199. The reversal of 12003210034192 is 29143001230021.

It is a happy number.

12003210034192 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 2×120032100341922 (a number of 27 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 12003210034192.

It is not an unprimeable number, because it can be changed into a prime (12003210034199) 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, 187070788 + ... + 187134940.

It is an arithmetic number, because the mean of its divisors is an integer number (319747128624).

Almost surely, 212003210034192 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 12003210034192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789885144960).

12003210034192 is an abundant number, since it is smaller than the sum of its proper divisors (13576560255728).

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

12003210034192 is a wasteful number, since it uses less digits than its factorization.

12003210034192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83360 (or 83354 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 12003210034192 in words is "twelve trillion, three billion, two hundred ten million, thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 2444 4888 9776 19139 38278 64153 76556 128306 153112 248807 256612 306224 497614 513224 833989 899533 995228 1026448 1667978 1799066 1990456 3015191 3335956 3598132 3980912 6030382 6671912 7196264 11693929 12060764 13343824 14392528 23387858 24121528 39197483 46775716 48243056 78394966 93551432 156789932 187102864 313579864 627159728 1227824267 2455648534 4911297068 9822594136 15961715471 19645188272 31923430942 57707740549 63846861884 115415481098 127693723768 230830962196 255387447536 461661924392 750200627137 923323848784 1500401254274 3000802508548 6001605017096 12003210034192