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12012220321311 = 372712116999709
BaseRepresentation
bin1010111011001101000000…
…1000000000111000011111
31120112100122021202202011110
42232303100020000320133
53033302011400240221
641314200545553103
72346566006021310
oct256632010007037
946470567682143
1012012220321311
113911399239101
121420070345793
136919943a5142
142d757498c607
1515c6eabb1776
hexaecd0200e1f

12012220321311 has 32 divisors (see below), whose sum is σ = 18372931532800. Its totient is φ = 6838405378560.

The previous prime is 12012220321253. The next prime is 12012220321337. The reversal of 12012220321311 is 11312302221021.

It is not a de Polignac number, because 12012220321311 - 26 = 12012220321247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012220321811) by changing a digit.

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, 120422925 + ... + 120522633.

It is an arithmetic number, because the mean of its divisors is an integer number (574154110400).

Almost surely, 212012220321311 is an apocalyptic number.

12012220321311 is a deficient number, since it is larger than the sum of its proper divisors (6360711211489).

12012220321311 is a wasteful number, since it uses less digits than its factorization.

12012220321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121159.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12012220321311 its reverse (11312302221021), we get a palindrome (23324522542332).

The spelling of 12012220321311 in words is "twelve trillion, twelve billion, two hundred twenty million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 21 271 813 1897 5691 21169 63507 99709 148183 299127 444549 697963 2093889 5736799 17210397 27021139 40157593 81063417 120472779 189147973 567443919 2110739821 6332219463 14775178747 44325536241 572010491491 1716031474473 4004073440437 12012220321311