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12001120110012 = 22311294067309173
BaseRepresentation
bin1010111010100011101010…
…0000000100010110111100
31120111021222200202120212110
42232220322200010112330
53033111243222010022
641305123301534020
72346023641543245
oct256507240042674
946437880676773
1012001120110012
113907712485060
121419a92a14310
13690915791a87
142d6c00673ccc
1515c29b42a00c
hexaea3a8045bc

12001120110012 has 48 divisors (see below), whose sum is σ = 30548508423552. Its totient is φ = 3636678934080.

The previous prime is 12001120109893. The next prime is 12001120110017. The reversal of 12001120110012 is 21001102110021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12001120110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001120110017) 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, 38662258 + ... + 38971430.

It is an arithmetic number, because the mean of its divisors is an integer number (636427258824).

Almost surely, 212001120110012 is an apocalyptic number.

12001120110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001120110012 is an abundant number, since it is smaller than the sum of its proper divisors (18547388313540).

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

12001120110012 is a wasteful number, since it uses less digits than its factorization.

12001120110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603258 (or 603256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001120110012 its reverse (21001102110021), we get a palindrome (33002222220033).

Subtracting 12001120110012 from its reverse (21001102110021), we obtain a square (8999982000009 = 29999972).

The spelling of 12001120110012 in words is "twelve trillion, one billion, one hundred twenty million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 294067 309173 588134 618346 882201 927519 1176268 1236692 1764402 1855038 3234737 3400903 3528804 3710076 6469474 6801806 9704211 10202709 12938948 13603612 19408422 20405418 38816844 40810836 90917576591 181835153182 272752729773 363670306364 545505459546 1000093342501 1091010919092 2000186685002 3000280027503 4000373370004 6000560055006 12001120110012