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12000012110020 = 22511389140219819
BaseRepresentation
bin1010111010011111100001…
…1101011000100011000100
31120111012010110212100121201
42232213320131120203010
53033102011100010040
641304421321352244
72345654325650464
oct256477035304304
946435113770551
1012000012110020
1139071a3aa6290
121419823938684
1369079a06c98c
142d6b37451ba4
1515c234013a9a
hexae9f87588c4

12000012110020 has 48 divisors (see below), whose sum is σ = 27561607819200. Its totient is φ = 4352423150720.

The previous prime is 12000012109999. The next prime is 12000012110029. The reversal of 12000012110020 is 2001121000021.

12000012110020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000012109979 and 12000012110006.

It is not an unprimeable number, because it can be changed into a prime (12000012110029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70024330 + ... + 70195489.

It is an arithmetic number, because the mean of its divisors is an integer number (574200162900).

Almost surely, 212000012110020 is an apocalyptic number.

12000012110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000012110020 is an abundant number, since it is smaller than the sum of its proper divisors (15561595709180).

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

12000012110020 is a wasteful number, since it uses less digits than its factorization.

12000012110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140220228 (or 140220226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000012110020 its reverse (2001121000021), we get a palindrome (14001133110041).

The spelling of 12000012110020 in words is "twelve trillion, twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 389 778 1556 1945 3890 4279 7780 8558 17116 21395 42790 85580 140219819 280439638 560879276 701099095 1402198190 1542418009 2804396380 3084836018 6169672036 7712090045 15424180090 30848360180 54545509591 109091019182 218182038364 272727547955 545455095910 600000605501 1090910191820 1200001211002 2400002422004 3000003027505 6000006055010 12000012110020