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12002102012012 = 2272471493872657
BaseRepresentation
bin1010111010100111010100…
…0001101110100001101100
31120111101112010101101012012
42232221311001232201230
53033120301103341022
641305404535300352
72346060163556300
oct256516501564154
946441463341165
1012002102012012
113908076767612
12141a10781a6b8
13690a41033488
142d6c94c2dd00
1515c307733de2
hexaea7506e86c

12002102012012 has 72 divisors (see below), whose sum is σ = 24969440147904. Its totient is φ = 5030938633728.

The previous prime is 12002102011993. The next prime is 12002102012063. The reversal of 12002102012012 is 21021020120021.

12002102012012 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 (14).

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, 13317188 + ... + 14189844.

It is an arithmetic number, because the mean of its divisors is an integer number (346797779832).

Almost surely, 212002102012012 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 12002102012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484720073952).

12002102012012 is an abundant number, since it is smaller than the sum of its proper divisors (12967338135892).

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

12002102012012 is a wasteful number, since it uses less digits than its factorization.

12002102012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874215 (or 874206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002102012012 its reverse (21021020120021), we get a palindrome (33023122132033).

The spelling of 12002102012012 in words is "twelve trillion, two billion, one hundred two million, twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 1493 2303 2986 4606 5972 9212 10451 20902 41804 70171 73157 140342 146314 280684 292628 491197 872657 982394 1745314 1964788 3438379 3490628 6108599 6876758 12217198 13753516 24434396 41014879 42760193 82029758 85520386 164059516 171040772 287104153 574208306 1148416612 1302876901 2009729071 2605753802 4019458142 5211507604 8038916284 9120138307 18240276614 36480553228 61235214347 63840968149 122470428694 127681936298 244940857388 255363872596 428646500429 857293000858 1714586001716 3000525503003 6001051006006 12002102012012