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12010201101012 = 2239731340980599
BaseRepresentation
bin1010111011000101011111…
…0001010011001011010100
31120112011102120020201122110
42232301113301103023110
53033233342440213022
641313224335031020
72346464656645542
oct256612761231324
946464376221573
1012010201101012
113910552463aa4
12141b7a806b470
13691731c5b52a
142d742272cd92
1515c62d7a400c
hexaec57c532d4

12010201101012 has 96 divisors (see below), whose sum is σ = 28472962336000. Its totient is φ = 3939764355072.

The previous prime is 12010201100957. The next prime is 12010201101013. The reversal of 12010201101012 is 21010110201021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010201101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148971489 + ... + 149052087.

Almost surely, 212010201101012 is an apocalyptic number.

12010201101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010201101012 is an abundant number, since it is smaller than the sum of its proper divisors (16462761234988).

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

12010201101012 is a wasteful number, since it uses less digits than its factorization.

12010201101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81425 (or 81423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12010201101012 its reverse (21010110201021), we get a palindrome (33020311302033).

It can be divided in two parts, 1201020 and 1101012, that added together give a palindrome (2302032).

The spelling of 12010201101012 in words is "twelve trillion, ten billion, two hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 97 194 291 313 388 409 582 626 818 939 1164 1227 1252 1636 1878 2454 3756 4908 30361 39673 60722 79346 80599 91083 119019 121444 128017 158692 161198 182166 238038 241797 256034 322396 364332 384051 476076 483594 512068 768102 967188 1536204 7818103 12417649 15636206 23454309 24835298 25227487 31272412 32964991 37252947 46908618 49670596 50454974 65929982 74505894 75682461 93817236 98894973 100909948 131859964 149011788 151364922 197789946 302729844 395579892 2447066239 3197604127 4894132478 6395208254 7341198717 9592812381 9788264956 10318042183 12790416508 14682397434 19185624762 20636084366 29364794868 30954126549 38371249524 41272168732 61908253098 123816506196 1000850091751 2001700183502 3002550275253 4003400367004 6005100550506 12010201101012