Search a number
-
+
12111010002112 = 26759458194991
BaseRepresentation
bin1011000000111101000001…
…1100101111010011000000
31120212210122002222111121011
42300033100130233103000
53041411322030031422
641431415435410304
72356664055322360
oct260172034572300
946783562874534
1012111010002112
11394a28345a4aa
1214372408b3994
1369b0a9219478
142dc266d949a0
1516007da23077
hexb03d072f4c0

12111010002112 has 56 divisors (see below), whose sum is σ = 27931566712320. Its totient is φ = 5102459408640.

The previous prime is 12111010002109. The next prime is 12111010002131. The reversal of 12111010002112 is 21120001011121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12111010002092 and 12111010002101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229071064 + ... + 229123927.

Almost surely, 212111010002112 is an apocalyptic number.

It is an amenable number.

12111010002112 is an abundant number, since it is smaller than the sum of its proper divisors (15820556710208).

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

12111010002112 is an equidigital number, since it uses as much as digits as its factorization.

12111010002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458195069 (or 458195059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12111010002112 its reverse (21120001011121), we get a palindrome (33231011013233).

The spelling of 12111010002112 in words is "twelve trillion, one hundred eleven billion, ten million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 3304 3776 6608 13216 26432 458194991 916389982 1832779964 3207364937 3665559928 6414729874 7331119856 12829459748 14662239712 25658919496 27033504469 29324479424 51317838992 54067008938 102635677984 108134017876 189234531283 205271355968 216268035752 378469062566 432536071504 756938125132 865072143008 1513876250264 1730144286016 3027752500528 6055505001056 12111010002112