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12012020221012 = 22729591579158791
BaseRepresentation
bin1010111011001100010000…
…1100101100010001010100
31120112100010100020121011021
42232303010030230101110
53033301104134033022
641314125041050524
72346561026135440
oct256630414542124
946470110217137
1012012020221012
1139112a6297859
121420015326a44
13691961ab42b6
142d7556181820
1515c6d83377c7
hexaecc432c454

12012020221012 has 96 divisors (see below), whose sum is σ = 25289849088000. Its totient is φ = 4883120242560.

The previous prime is 12012020220973. The next prime is 12012020221027. The reversal of 12012020221012 is 21012202021021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75567337 + ... + 75726127.

It is an arithmetic number, because the mean of its divisors is an integer number (263435928000).

Almost surely, 212012020221012 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 12012020221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644924544000).

12012020221012 is an abundant number, since it is smaller than the sum of its proper divisors (13277828866988).

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

12012020221012 is a wasteful number, since it uses less digits than its factorization.

12012020221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160469 (or 160467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12012020221012 its reverse (21012202021021), we get a palindrome (33024222242033).

The spelling of 12012020221012 in words is "twelve trillion, twelve billion, twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 59 116 118 203 236 406 413 812 826 1579 1652 1711 3158 3422 6316 6844 11053 11977 22106 23954 44212 45791 47908 91582 93161 158791 183164 186322 317582 320537 372644 635164 641074 652127 1111537 1282148 1304254 2223074 2608508 2701669 4446148 4604939 5403338 9209878 9368669 10806676 18419756 18737338 18911683 32234573 37474676 37823366 64469146 65580683 75646732 128938292 131161366 250730989 262322732 271691401 501461978 543382802 1002923956 1086765604 1755116923 1901839807 3510233846 3803679614 7020467692 7271198681 7607359228 14542397362 14793128351 29084794724 29586256702 50898390767 59172513404 101796781534 103551898457 203593563068 207103796914 414207593828 429000722179 858001444358 1716002888716 3003005055253 6006010110506 12012020221012