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11211312012 = 2231798396221
BaseRepresentation
bin10100111000011111…
…10000101110001100
31001221100001122211020
422130033300232030
5140430043441022
65052253154140
7544553402565
oct123417605614
931840048736
1011211312012
11483354771a
12220a78b950
131098942744
14784d9916c
154593d035c
hex29c3f0b8c

11211312012 has 48 divisors (see below), whose sum is σ = 26341459200. Its totient is φ = 3711200320.

The previous prime is 11211312001. The next prime is 11211312023. The reversal of 11211312012 is 21021311211.

11211312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11211312001) and next prime (11211312023).

It is a junction number, because it is equal to n+sod(n) for n = 11211311982 and 11211312000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799062 + ... + 1805282.

It is an arithmetic number, because the mean of its divisors is an integer number (548780400).

Almost surely, 211211312012 is an apocalyptic number.

11211312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211312012 is an abundant number, since it is smaller than the sum of its proper divisors (15130147188).

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

11211312012 is a wasteful number, since it uses less digits than its factorization.

11211312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11211312012 its reverse (21021311211), we get a palindrome (32232623223).

The spelling of 11211312012 in words is "eleven billion, two hundred eleven million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 179 358 537 716 839 1074 1678 2148 2517 3356 5034 6221 10068 12442 18663 24884 37326 74652 150181 300362 450543 600724 901086 1113559 1802172 2227118 3340677 4454236 5219419 6681354 10438838 13362708 15658257 20877676 31316514 62633028 934276001 1868552002 2802828003 3737104004 5605656006 11211312012