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12020340024020 = 22567149136744041
BaseRepresentation
bin1010111011101011010000…
…0110001110001011010100
31120120010121011102101022102
42232322310012032023110
53033420124021232040
641322022403221232
72350304142244046
oct256726406161324
946503534371272
1012020340024020
113914885634a09
121421757677818
13692689669a63
142d7b050d5a96
1515ca23954515
hexaeeb418e2d4

12020340024020 has 96 divisors (see below), whose sum is σ = 25810866950400. Its totient is φ = 4701036764160.

The previous prime is 12020340024013. The next prime is 12020340024029. The reversal of 12020340024020 is 2042004302021.

12020340024020 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 12020340023983 and 12020340024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020340024029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272913200 + ... + 272957240.

It is an arithmetic number, because the mean of its divisors is an integer number (268863197400).

Almost surely, 212020340024020 is an apocalyptic number.

12020340024020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020340024020 is an abundant number, since it is smaller than the sum of its proper divisors (13790526926380).

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

12020340024020 is a wasteful number, since it uses less digits than its factorization.

12020340024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45633 (or 45631 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12020340024020 its reverse (2042004302021), we get a palindrome (14062344326041).

The spelling of 12020340024020 in words is "twelve trillion, twenty billion, three hundred forty million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 149 268 298 335 596 670 745 1340 1367 1490 2734 2980 5468 6835 9983 13670 19966 27340 39932 44041 49915 88082 91589 99830 176164 183178 199660 203683 220205 366356 407366 440410 457945 814732 880820 915890 1018415 1831780 2036830 2950747 4073660 5901494 6562109 11802988 13124218 13646761 14753735 26248436 27293522 29507470 32810545 54587044 59014940 60204047 65621090 68233805 120408094 131242180 136467610 240816188 272935220 301020235 439661303 602040470 879322606 1204080940 1758645212 2198306515 4033671149 4396613030 8067342298 8793226060 8970403003 16134684596 17940806006 20168355745 35881612012 40336711490 44852015015 80673422980 89704030030 179408060060 601017001201 1202034002402 2404068004804 3005085006005 6010170012010 12020340024020