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12211094088 = 233614472
BaseRepresentation
bin10110101111101011…
…01000001001001000
31011112000022212000000
423113311220021020
5200002020002323
65335410043000
7611413405254
oct132765501110
934460285000
1012211094088
1151a69317a6
122449579460
1311c7b0467b
1483ba8b264
154b706be43
hex2d7d68248

12211094088 has 84 divisors (see below), whose sum is σ = 34351738515. Its totient is φ = 4067551728.

The previous prime is 12211094081. The next prime is 12211094099. The reversal of 12211094088 is 88049011221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6105547044 + 6105547044 = 78138^2 + 78138^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78138.

It is a super-2 number, since 2×122110940882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12211094081) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8438181 + ... + 8439627.

Almost surely, 212211094088 is an apocalyptic number.

12211094088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211094088

12211094088 is an abundant number, since it is smaller than the sum of its proper divisors (22140644427).

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

12211094088 is an frugal number, since it uses more digits than its factorization.

12211094088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12211094088 in words is "twelve billion, two hundred eleven million, ninety-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1447 1458 1944 2894 2916 4341 5788 5832 8682 11576 13023 17364 26046 34728 39069 52092 78138 104184 117207 156276 234414 312552 351621 468828 703242 937656 1054863 1406484 2093809 2109726 2812968 4187618 4219452 6281427 8375236 8438904 12562854 16750472 18844281 25125708 37688562 50251416 56532843 75377124 113065686 150754248 169598529 226131372 339197058 452262744 508795587 678394116 1017591174 1356788232 1526386761 2035182348 3052773522 4070364696 6105547044 12211094088