Search a number
-
+
12334034310012 = 2233114204021389
BaseRepresentation
bin1011001101111011110110…
…1110111101001101111100
31121200010022001120012212000
42303132331232331031330
53104040100240410022
642122102132342300
72412050603546442
oct263367556751574
947603261505760
1012334034310012
113a2591a902a38
121472503174990
136b612c65896c
14308d82c90b92
15165c834a96ac
hexb37bdbbd37c

12334034310012 has 24 divisors (see below), whose sum is σ = 31977125989200. Its totient is φ = 4111344769968.

The previous prime is 12334034309977. The next prime is 12334034310121. The reversal of 12334034310012 is 21001343043321.

It is a happy number.

12334034310012 is a `hidden beast` number, since 1 + 2 + 3 + 340 + 3 + 4 + 310 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 57102010587 + ... + 57102010802.

It is an arithmetic number, because the mean of its divisors is an integer number (1332380249550).

Almost surely, 212334034310012 is an apocalyptic number.

12334034310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12334034310012 is an abundant number, since it is smaller than the sum of its proper divisors (19643091679188).

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

12334034310012 is a wasteful number, since it uses less digits than its factorization.

12334034310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114204021402 (or 114204021394 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12334034310012 its reverse (21001343043321), we get a palindrome (33335377353333).

The spelling of 12334034310012 in words is "twelve trillion, three hundred thirty-four billion, thirty-four million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 114204021389 228408042778 342612064167 456816085556 685224128334 1027836192501 1370448256668 2055672385002 3083508577503 4111344770004 6167017155006 12334034310012