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12223020132 = 22323171915233
BaseRepresentation
bin10110110001000110…
…00111110001100100
31011112211202202110100
423120203013301210
5200013043121012
65340513424100
7611616646131
oct133043076144
934484682410
1012223020132
115202637a34
12245156b030
1311ca41babb
1483d4b3588
154b81258dc
hex2d88c7c64

12223020132 has 72 divisors (see below), whose sum is σ = 31940213760. Its totient is φ = 3937167360.

The previous prime is 12223020097. The next prime is 12223020133. The reversal of 12223020132 is 23102032221.

It is a super-2 number, since 2×122230201322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12223020133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794788 + ... + 810020.

It is an arithmetic number, because the mean of its divisors is an integer number (443614080).

Almost surely, 212223020132 is an apocalyptic number.

12223020132 is a gapful number since it is divisible by the number (12) 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 12223020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970106880).

12223020132 is an abundant number, since it is smaller than the sum of its proper divisors (19717193628).

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

12223020132 is a wasteful number, since it uses less digits than its factorization.

12223020132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15993 (or 15988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12223020132 its reverse (23102032221), we get a palindrome (35325052353).

The spelling of 12223020132 in words is "twelve billion, two hundred twenty-three million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 719 1116 1438 2157 2876 4314 6471 8628 12942 15233 22289 25884 30466 44578 45699 60932 66867 89156 91398 133734 137097 182796 200601 267468 274194 401202 472223 548388 802404 944446 1416669 1888892 2833338 4250007 5666676 8500014 10952527 17000028 21905054 32857581 43810108 65715162 98572743 131430324 197145486 339528337 394290972 679056674 1018585011 1358113348 2037170022 3055755033 4074340044 6111510066 12223020132