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12312332211120 = 2435157326760409
BaseRepresentation
bin1011001100101011000000…
…1100000001001110110000
31121121001021121020100212120
42303022300030001032300
53103211124021223440
642104112441154240
72410352033006214
oct263126014011660
947531247210776
1012312332211120
113a176a3607917
12146a26718b980
136b408144b326
14307cc48d8944
151654130c2dd0
hexb32b03013b0

12312332211120 has 80 divisors (see below), whose sum is σ = 38411339716320. Its totient is φ = 3262375913472.

The previous prime is 12312332211119. The next prime is 12312332211139. The reversal of 12312332211120 is 2111223321321.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 15 ways as a sum of consecutive naturals, for example, 163342525 + ... + 163417884.

It is an arithmetic number, because the mean of its divisors is an integer number (480141746454).

Almost surely, 212312332211120 is an apocalyptic number.

12312332211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312332211120 is an abundant number, since it is smaller than the sum of its proper divisors (26099007505200).

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

12312332211120 is a wasteful number, since it uses less digits than its factorization.

12312332211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326760582 (or 326760576 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12312332211120 its reverse (2111223321321), we get a palindrome (14423555532441).

The spelling of 12312332211120 in words is "twelve trillion, three hundred twelve billion, three hundred thirty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 326760409 653520818 980281227 1307041636 1633802045 1960562454 2614083272 3267604090 3921124908 4901406135 5228166544 6535208180 7842249816 9802812270 13070416360 15684499632 19605624540 26140832720 39211249080 51301384213 78422498160 102602768426 153904152639 205205536852 256506921065 307808305278 410411073704 513013842130 615616610556 769520763195 820822147408 1026027684260 1231233221112 1539041526390 2052055368520 2462466442224 3078083052780 4104110737040 6156166105560 12312332211120