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12202323012 = 22321134788801
BaseRepresentation
bin10110101110101000…
…01010110001000100
31011111101211020100100
423113110022301010
5144442243314022
65334454044100
7611246014515
oct132724126104
934441736310
1012202323012
1151a1990980
122446649630
1311c6053299
1483a846a0c
154b63d81ac
hex2d750ac44

12202323012 has 72 divisors (see below), whose sum is σ = 33746180832. Its totient is φ = 3686976000.

The previous prime is 12202322927. The next prime is 12202323073. The reversal of 12202323012 is 21032320221.

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, 93012 + ... + 181812.

It is an arithmetic number, because the mean of its divisors is an integer number (468696956).

Almost surely, 212202323012 is an apocalyptic number.

12202323012 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 12202323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873090416).

12202323012 is an abundant number, since it is smaller than the sum of its proper divisors (21543857820).

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

12202323012 is a wasteful number, since it uses less digits than its factorization.

12202323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89169 (or 89164 counting only the distinct ones).

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

Adding to 12202323012 its reverse (21032320221), we get a palindrome (33234643233).

It can be divided in two parts, 1220 and 2323012, that added together give a palindrome (2324232).

The spelling of 12202323012 in words is "twelve billion, two hundred two million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1388 2082 3123 3817 4164 6246 7634 11451 12492 15268 22902 34353 45804 68706 88801 137412 177602 266403 355204 532806 799209 976811 1065612 1598418 1953622 2930433 3196836 3907244 5860866 8791299 11721732 17582598 30813947 35165196 61627894 92441841 123255788 184883682 277325523 338953417 369767364 554651046 677906834 1016860251 1109302092 1355813668 2033720502 3050580753 4067441004 6101161506 12202323012