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12321333312 = 263232790157
BaseRepresentation
bin10110111100110100…
…01010000001000000
31011210200202120210020
423132122022001000
5200213230131222
65354344533440
7614222414361
oct133632120100
934720676706
1012321333312
1152530870a2
12247a481280
1312148c1892
1484c585b68
154c1a9565c
hex2de68a040

12321333312 has 56 divisors (see below), whose sum is σ = 34017606336. Its totient is φ = 3928539648.

The previous prime is 12321333293. The next prime is 12321333341. The reversal of 12321333312 is 21333312321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1390663 + ... + 1399494.

It is an arithmetic number, because the mean of its divisors is an integer number (607457256).

Almost surely, 212321333312 is an apocalyptic number.

12321333312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321333312 is an abundant number, since it is smaller than the sum of its proper divisors (21696273024).

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

12321333312 is a wasteful number, since it uses less digits than its factorization.

12321333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790195 (or 2790185 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 12321333312 its reverse (21333312321), we get a palindrome (33654645633).

The spelling of 12321333312 in words is "twelve billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 2790157 5580314 8370471 11160628 16740942 22321256 33481884 44642512 64173611 66963768 89285024 128347222 133927536 178570048 192520833 256694444 267855072 385041666 513388888 535710144 770083332 1026777776 1540166664 2053555552 3080333328 4107111104 6160666656 12321333312