Search a number
-
+
12200221110012 = 223133719710729393
BaseRepresentation
bin1011000110001001010111…
…0110000110111011111100
31121012022220101102100012120
42301202111312012323330
53044342023101010022
641540412035202540
72366302565245065
oct261422566067374
947168811370176
1012200221110012
1139840a2837251
121450599446450
136a6625777790
143026cb1b956c
151625509bdd5c
hexb1895d86efc

12200221110012 has 96 divisors (see below), whose sum is σ = 31645360498752. Its totient is φ = 3633916317696.

The previous prime is 12200221109911. The next prime is 12200221110019. The reversal of 12200221110012 is 21001112200221.

It is a junction number, because it is equal to n+sod(n) for n = 12200221109973 and 12200221110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200221110019) 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, 4227613 + ... + 6501780.

It is an arithmetic number, because the mean of its divisors is an integer number (329639171862).

Almost surely, 212200221110012 is an apocalyptic number.

12200221110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200221110012 is an abundant number, since it is smaller than the sum of its proper divisors (19445139388740).

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

12200221110012 is a wasteful number, since it uses less digits than its factorization.

12200221110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10729647 (or 10729645 counting only the distinct ones).

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

Adding to 12200221110012 its reverse (21001112200221), we get a palindrome (33201333310233).

The spelling of 12200221110012 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 197 222 394 444 481 591 788 962 1182 1443 1924 2364 2561 2886 5122 5772 7289 7683 10244 14578 15366 21867 29156 30732 43734 87468 94757 189514 284271 379028 568542 1137084 10729393 21458786 32188179 42917572 64376358 128752716 139482109 278964218 396987541 418446327 557928436 793975082 836892654 1190962623 1587950164 1673785308 2113690421 2381925246 4227380842 4763850492 5160838033 6341071263 8454761684 10321676066 12682142526 15482514099 20643352132 25364285052 27477975473 30965028198 54955950946 61930056396 78206545577 82433926419 109911901892 156413091154 164867852838 234619636731 312826182308 329735705676 469239273462 938478546924 1016685092501 2033370185002 3050055277503 4066740370004 6100110555006 12200221110012