Search a number
-
+
2122112001012 = 22343791312631511
BaseRepresentation
bin11110111000010111101…
…110110110001111110100
321111212112122010020012020
4132320113232312033310
5234232041133013022
64302515040553140
7306213625246563
oct36702756661764
97455478106166
102122112001012
11748a899a0593
122a33430227b0
1312516417bb83
14749d44c7bda
153a3035bb35c
hex1ee17bb63f4

2122112001012 has 192 divisors, whose sum is σ = 5193143746560. Its totient is φ = 673946582400.

The previous prime is 2122112000999. The next prime is 2122112001029. The reversal of 2122112001012 is 2101002112212.

It is a junction number, because it is equal to n+sod(n) for n = 2122112000982 and 2122112001000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404441337 + ... + 1404442847.

It is an arithmetic number, because the mean of its divisors is an integer number (27047623680).

Almost surely, 22122112001012 is an apocalyptic number.

It is an amenable number.

2122112001012 is an abundant number, since it is smaller than the sum of its proper divisors (3071031745548).

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

2122112001012 is a wasteful number, since it uses less digits than its factorization.

2122112001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2032 counting only the distinct ones).

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

Adding to 2122112001012 its reverse (2101002112212), we get a palindrome (4223114113224).

It can be divided in two parts, 212211200 and 1012, that added together give a palindrome (212212212).

The spelling of 2122112001012 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, twelve".