Search a number
-
+
12001122012120 = 2335100009350101
BaseRepresentation
bin1010111010100011101010…
…0111010100101111011000
31120111021222211100020001220
42232220322213110233120
53033111244213341440
641305123410412040
72346023663654613
oct256507247245730
946437884306056
1012001122012120
11390771356414a
121419a93591020
13690915ca9797
142d6c00a0b17a
1515c29b6a38d0
hexaea3a9d4bd8

12001122012120 has 32 divisors (see below), whose sum is σ = 36003366036720. Its totient is φ = 3200299203200.

The previous prime is 12001122012097. The next prime is 12001122012161. The reversal of 12001122012120 is 2121022110021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001122012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50004674931 + ... + 50004675170.

Almost surely, 212001122012120 is an apocalyptic number.

12001122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001122012120 is an abundant number, since it is smaller than the sum of its proper divisors (24002244024600).

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

12001122012120 is a wasteful number, since it uses less digits than its factorization.

12001122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100009350115 (or 100009350111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001122012120 its reverse (2121022110021), we get a palindrome (14122144122141).

The spelling of 12001122012120 in words is "twelve trillion, one billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 100009350101 200018700202 300028050303 400037400404 500046750505 600056100606 800074800808 1000093501010 1200112201212 1500140251515 2000187002020 2400224402424 3000280503030 4000374004040 6000561006060 12001122012120