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12110032332 = 223583150107
BaseRepresentation
bin10110100011101000…
…00110110111001100
31011020222011101100000
423101310012313030
5144300132013312
65321400004300
7606045401466
oct132164066714
934228141300
1012110032332
115154885592
12241b760690
1311acbab808
1482c4a1136
154ad257adc
hex2d1d06dcc

12110032332 has 72 divisors (see below), whose sum is σ = 32127915456. Its totient is φ = 3988016208.

The previous prime is 12110032321. The next prime is 12110032357. The reversal of 12110032332 is 23323001121.

12110032332 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 an unprimeable number.

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, 5623 + ... + 155729.

It is an arithmetic number, because the mean of its divisors is an integer number (446221048).

Almost surely, 212110032332 is an apocalyptic number.

12110032332 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 12110032332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063957728).

12110032332 is an abundant number, since it is smaller than the sum of its proper divisors (20017883124).

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

12110032332 is a wasteful number, since it uses less digits than its factorization.

12110032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150209 (or 150195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12110032332 its reverse (23323001121), we get a palindrome (35433033453).

The spelling of 12110032332 in words is "twelve billion, one hundred ten million, thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 747 972 996 1494 2241 2988 4482 6723 8964 13446 20169 26892 40338 80676 150107 300214 450321 600428 900642 1350963 1801284 2701926 4052889 5403852 8105778 12158667 12458881 16211556 24317334 24917762 36476001 37376643 48634668 49835524 72952002 74753286 112129929 145904004 149506572 224259858 336389787 448519716 672779574 1009169361 1345559148 2018338722 3027508083 4036677444 6055016166 12110032332