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12200222120112 = 24321337176140883
BaseRepresentation
bin1011000110001001010111…
…1001111101100010110000
31121012022220110022122210200
42301202111321331202300
53044342023330320422
641540412112555200
72366302606653015
oct261422571754260
947168813278720
1012200222120112
1139840a3367144
121450599852b00
136a6625a3c480
143026cb39d70c
15162550b1d2ac
hexb1895e7d8b0

12200222120112 has 120 divisors (see below), whose sum is σ = 37763900966064. Its totient is φ = 3652457329152.

The previous prime is 12200222120089. The next prime is 12200222120159. The reversal of 12200222120112 is 21102122200221.

It is a happy number.

12200222120112 is a `hidden beast` number, since 12 + 200 + 222 + 120 + 112 = 666.

12200222120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88001178 + ... + 88139705.

Almost surely, 212200222120112 is an apocalyptic number.

12200222120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200222120112 is an abundant number, since it is smaller than the sum of its proper divisors (25563678845952).

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

12200222120112 is a wasteful number, since it uses less digits than its factorization.

12200222120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176140947 (or 176140938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200222120112 its reverse (21102122200221), we get a palindrome (33302344320333).

The spelling of 12200222120112 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 888 936 962 1332 1443 1776 1872 1924 2664 2886 3848 4329 5328 5772 7696 8658 11544 17316 23088 34632 69264 176140883 352281766 528422649 704563532 1056845298 1409127064 1585267947 2113690596 2289831479 2818254128 3170535894 4227381192 4579662958 6341071788 6517212671 6869494437 8454762384 9159325916 12682143576 13034425342 13738988874 18318651832 19551638013 20608483311 25364287152 26068850684 27477977748 36637303664 39103276026 41216966622 52137701368 54955955496 58654914039 78206552052 82433933244 84723764723 104275402736 109911910992 117309828078 156413104104 164867866488 169447529446 234619656156 254171294169 312826208208 329735732976 338895058892 469239312312 508342588338 677790117784 762513882507 938478624624 1016685176676 1355580235568 1525027765014 2033370353352 3050055530028 4066740706704 6100111060056 12200222120112