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12323133012 = 223191372411637
BaseRepresentation
bin10110111101000010…
…00001011001010100
31011210211011000111210
423132201001121110
5200214210224022
65354451301420
7614243621331
oct133641013124
934724130453
1012323133012
1152540a6253
12247abaa870
1312150a1aa8
1484c8d3988
154c1ceda0c
hex2de841654

12323133012 has 96 divisors (see below), whose sum is σ = 30633482880. Its totient is φ = 3844730880.

The previous prime is 12323133007. The next prime is 12323133023. The reversal of 12323133012 is 21033132321.

It is a self number, because there is not a number n which added to its sum of digits gives 12323133012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7527058 + ... + 7528694.

It is an arithmetic number, because the mean of its divisors is an integer number (319098780).

Almost surely, 212323133012 is an apocalyptic number.

12323133012 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 12323133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316741440).

12323133012 is an abundant number, since it is smaller than the sum of its proper divisors (18310349868).

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

12323133012 is a wasteful number, since it uses less digits than its factorization.

12323133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12323133012 its reverse (21033132321), we get a palindrome (33356265333).

The spelling of 12323133012 in words is "twelve billion, three hundred twenty-three million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 241 274 411 482 548 723 822 964 1446 1637 1644 2603 2892 3274 4579 4911 5206 6548 7809 9158 9822 10412 13737 15618 18316 19644 27474 31103 31236 33017 54948 62206 66034 93309 99051 124412 132068 186618 198102 224269 373236 394517 396204 448538 627323 672807 789034 897076 1183551 1254646 1345614 1578068 1881969 2367102 2509292 2691228 3763938 4261111 4734204 7495823 7527876 8522222 12783333 14991646 17044444 22487469 25566666 29983292 44974938 51133332 54048829 89949876 108097658 162146487 216195316 324292974 648585948 1026927751 2053855502 3080783253 4107711004 6161566506 12323133012