Search a number
-
+
12021211012112 = 24171971269717669
BaseRepresentation
bin1010111011101110100000…
…0000110001110000010000
31120120012211212100011100122
42232323220000301300100
53033423420004341422
641322245035405412
72350334546440661
oct256735000616020
946505755304318
1012021211012112
113915192251185
12142195b2b3868
13692797c46123
142d7b88a5d368
1515ca7514ed42
hexaeee8031c10

12021211012112 has 80 divisors (see below), whose sum is σ = 24789699451440. Its totient is φ = 5627562737664.

The previous prime is 12021211012091. The next prime is 12021211012159. The reversal of 12021211012112 is 21121011212021.

It can be written as a sum of positive squares in 8 ways, for example, as 264294697216 + 11756916314896 = 514096^2 + 3428836^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680347214 + ... + 680364882.

It is an arithmetic number, because the mean of its divisors is an integer number (309871243143).

Almost surely, 212021211012112 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 12021211012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394849725720).

12021211012112 is an abundant number, since it is smaller than the sum of its proper divisors (12768488439328).

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

12021211012112 is a wasteful number, since it uses less digits than its factorization.

12021211012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12021211012112 its reverse (21121011212021), we get a palindrome (33142222224133).

The spelling of 12021211012112 in words is "twelve trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 394 788 1576 3152 3349 6698 12697 13396 17669 25394 26792 35338 50788 53584 70676 101576 141352 203152 215849 282704 300373 431698 600746 863396 1201492 1726792 2402984 2501309 3453584 3480793 4805968 5002618 6961586 10005236 13923172 20010472 27846344 40020944 42522253 55692688 59173481 85044506 118346962 170089012 224343293 236693924 340178024 448686586 473387848 680356048 897373172 946775696 1794746344 3589492688 3813835981 7627671962 15255343924 30510687848 44195628721 61021375696 88391257442 176782514884 353565029768 707130059536 751325688257 1502651376514 3005302753028 6010605506056 12021211012112