Search a number
-
+
12000120011112 = 2334013063740699
BaseRepresentation
bin1010111010011111111011…
…1000111111100101101000
31120111012101222220022002110
42232213332320333211220
53033102221210323422
641304440134202320
72345660106051102
oct256477670774550
946435358808073
1012000120011112
1139072499a3a42
121419853ab33a0
136907b651b88c
142d6b478dc572
1515c23d72960c
hexae9fee3f968

12000120011112 has 64 divisors (see below), whose sum is σ = 30076834392000. Its totient is φ = 3989836569600.

The previous prime is 12000120011023. The next prime is 12000120011119. The reversal of 12000120011112 is 21111002100021.

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

It is not an unprimeable number, because it can be changed into a prime (12000120011119) 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, 294830139 + ... + 294870837.

It is an arithmetic number, because the mean of its divisors is an integer number (469950537375).

Almost surely, 212000120011112 is an apocalyptic number.

12000120011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000120011112 is an abundant number, since it is smaller than the sum of its proper divisors (18076714380888).

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

12000120011112 is a wasteful number, since it uses less digits than its factorization.

12000120011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71746 (or 71742 counting only the distinct ones).

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

Adding to 12000120011112 its reverse (21111002100021), we get a palindrome (33111122111133).

The spelling of 12000120011112 in words is "twelve trillion, one hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 401 802 1203 1604 2406 3208 4812 9624 30637 40699 61274 81398 91911 122097 122548 162796 183822 244194 245096 325592 367644 488388 735288 976776 12285437 16320299 24570874 32640598 36856311 48960897 49141748 65281196 73712622 97921794 98283496 130562392 147425244 195843588 294850488 391687176 1246895263 2493790526 3740685789 4987581052 7481371578 9975162104 14962743156 29925486312 500005000463 1000010000926 1500015001389 2000020001852 3000030002778 4000040003704 6000060005556 12000120011112