Search a number
-
+
12000211122112 = 2647117113212579
BaseRepresentation
bin1010111010100000010001…
…0100100011011111000000
31120111012122100100012212221
42232220010110203133000
53033102413021401422
641304453151100424
72345662263351613
oct256500424433700
946435570305787
1012000211122112
113907296373a94
12141987a511714
136907cc36c405
142d6b55a5817a
1515c2467253c7
hexaea045237c0

12000211122112 has 112 divisors (see below), whose sum is σ = 24368215749120. Its totient is φ = 5860713830400.

The previous prime is 12000211122089. The next prime is 12000211122149. The reversal of 12000211122112 is 21122111200021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 4653046839 + ... + 4653049417.

Almost surely, 212000211122112 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 12000211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184107874560).

12000211122112 is an abundant number, since it is smaller than the sum of its proper divisors (12368004627008).

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

12000211122112 is a wasteful number, since it uses less digits than its factorization.

12000211122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12000211122112 its reverse (21122111200021), we get a palindrome (33122322322133).

The spelling of 12000211122112 in words is "twelve trillion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1171 1321 1504 2342 2579 2642 3008 4684 5158 5284 9368 10316 10568 18736 20632 21136 37472 41264 42272 55037 62087 74944 82528 84544 110074 121213 124174 165056 220148 242426 248348 440296 484852 496696 880592 969704 993392 1546891 1761184 1939408 1986784 3020009 3093782 3406859 3522368 3878816 3973568 6040018 6187564 6813718 7757632 12080036 12375128 13627436 24160072 24750256 27254872 48320144 49500512 54509744 72703877 96640288 99001024 109019488 141940423 145407754 160122373 193280576 218038976 283880846 290815508 320244746 567761692 581631016 640489492 1135523384 1163262032 1280978984 2271046768 2326524064 2561957968 3989431889 4542093536 4653048128 5123915936 7978863778 9084187072 10247831872 15957727556 31915455112 63830910224 127661820448 187503298783 255323640896 375006597566 750013195132 1500026390264 3000052780528 6000105561056 12000211122112