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12132220104 = 23326714916879
BaseRepresentation
bin10110100110010001…
…01111110011001000
31011022111220122020100
423103020233303020
5144321322020404
65323511325400
7606435112044
oct132310576310
934274818210
1012132220104
11516635a594
122427080860
1311b4679984
148313d9024
154b018bd39
hex2d322fcc8

12132220104 has 96 divisors (see below), whose sum is σ = 33574320000. Its totient is φ = 3956743296.

The previous prime is 12132220103. The next prime is 12132220147. The reversal of 12132220104 is 40102223121.

It is a happy number.

12132220104 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 not an unprimeable number, because it can be changed into a prime (12132220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710337 + ... + 727215.

It is an arithmetic number, because the mean of its divisors is an integer number (349732500).

Almost surely, 212132220104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787160000).

12132220104 is an abundant number, since it is smaller than the sum of its proper divisors (21442099896).

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

12132220104 is a wasteful number, since it uses less digits than its factorization.

12132220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17107 (or 17100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12132220104 its reverse (40102223121), we get a palindrome (52234443225).

The spelling of 12132220104 in words is "twelve billion, one hundred thirty-two million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 149 201 268 298 402 447 536 596 603 804 894 1192 1206 1341 1608 1788 2412 2682 3576 4824 5364 9983 10728 16879 19966 29949 33758 39932 50637 59898 67516 79864 89847 101274 119796 135032 151911 179694 202548 239592 303822 359388 405096 607644 718776 1130893 1215288 2261786 2514971 3392679 4523572 5029942 6785358 7544913 9047144 10059884 10178037 13570716 15089826 20119768 20356074 22634739 27141432 30179652 40712148 45269478 60359304 81424296 90538956 168503057 181077912 337006114 505509171 674012228 1011018342 1348024456 1516527513 2022036684 3033055026 4044073368 6066110052 12132220104