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12310031133120 = 263571831849871
BaseRepresentation
bin1011001100100010011100…
…0010000110100111000000
31121120211100020100111021110
42303020213002012213000
53103141420432224440
642103052241123320
72410241022115050
oct263104702064700
947524306314243
1012310031133120
113a1672271a966
121469924629540
136b3aa57b9606
14307b47069560
1516532b08c080
hexb32270869c0

12310031133120 has 112 divisors (see below), whose sum is σ = 44667827278848. Its totient is φ = 2813721400320.

The previous prime is 12310031133109. The next prime is 12310031133121. The reversal of 12310031133120 is 2133113001321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310031133121) 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 15 ways as a sum of consecutive naturals, for example, 915918216 + ... + 915931655.

Almost surely, 212310031133120 is an apocalyptic number.

12310031133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310031133120 is an abundant number, since it is smaller than the sum of its proper divisors (32357796145728).

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

12310031133120 is a wasteful number, since it uses less digits than its factorization.

12310031133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831849898 (or 1831849888 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12310031133120 its reverse (2133113001321), we get a palindrome (14443144134441).

The spelling of 12310031133120 in words is "twelve trillion, three hundred ten billion, thirty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1831849871 3663699742 5495549613 7327399484 9159249355 10991099226 12822949097 14654798968 18318498710 21982198452 25645898194 27477748065 29309597936 36636997420 38468847291 43964396904 51291796388 54955496130 58619195872 64114745485 73273994840 76937694582 87928793808 102583592776 109910992260 117238391744 128229490970 146547989680 153875389164 175857587616 192344236455 205167185552 219821984520 256458981940 293095979360 307750778328 351715175232 384688472910 410334371104 439643969040 512917963880 586191958720 615501556656 769376945820 820668742208 879287938080 1025835927760 1231003113312 1538753891640 1758575876160 2051671855520 2462006226624 3077507783280 4103343711040 6155015566560 12310031133120