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12010201120212 = 22317375033163373
BaseRepresentation
bin1010111011000101011111…
…0001010111110111010100
31120112011102120021200222120
42232301113301113313110
53033233342441321322
641313224335255540
72346464660055531
oct256612761276724
946464376250876
1012010201120212
113910552477469
12141b7a807a5b0
13691731c671a9
142d7422735d88
1515c62d7a9a5c
hexaec57c57dd4

12010201120212 has 96 divisors (see below), whose sum is σ = 30534809179392. Its totient is φ = 3658781362176.

The previous prime is 12010201120207. The next prime is 12010201120219. The reversal of 12010201120212 is 21202110201021.

It is a junction number, because it is equal to n+sod(n) for n = 12010201120191 and 12010201120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010201120219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214958 + ... + 5378330.

It is an arithmetic number, because the mean of its divisors is an integer number (318070928952).

Almost surely, 212010201120212 is an apocalyptic number.

12010201120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010201120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267404589696).

12010201120212 is an abundant number, since it is smaller than the sum of its proper divisors (18524608059180).

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

12010201120212 is a wasteful number, since it uses less digits than its factorization.

12010201120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163937 (or 3163935 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12010201120212 its reverse (21202110201021), we get a palindrome (33212311321233).

It can be divided in two parts, 1201020 and 1120212, that added together give a palindrome (2321232).

The spelling of 12010201120212 in words is "twelve trillion, ten billion, two hundred one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 503 629 1006 1258 1509 1887 2012 2516 3018 3774 6036 7548 8551 17102 18611 25653 34204 37222 51306 55833 74444 102612 111666 223332 316387 632774 949161 1265548 1898322 3163373 3796644 6326746 9490119 12653492 18980238 37960476 53777341 107554682 117044801 161332023 215109364 234089602 322664046 351134403 468179204 645328092 702268806 1404537612 1591176619 1989761617 3182353238 3979523234 4773529857 5969284851 6364706476 7959046468 9547059714 11938569702 19094119428 23877139404 27050002523 54100005046 58873534903 81150007569 108200010092 117747069806 162300015138 176620604709 235494139612 324600030276 353241209418 706482418836 1000850093351 2001700186702 3002550280053 4003400373404 6005100560106 12010201120212