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12010112102112 = 253166775048191
BaseRepresentation
bin1010111011000101001001…
…1101110010111011100000
31120112011012100210010002220
42232301102131302323200
53033233202144231422
641313211435311040
72346462526322535
oct256612235627340
946464170703086
1012010112102112
1139105071a6893
12141b7822ab480
1369171969a167
142d74149a2d8c
1515c625a73e5c
hexaec52772ee0

12010112102112 has 48 divisors (see below), whose sum is σ = 31545456832512. Its totient is φ = 4000969105280.

The previous prime is 12010112102099. The next prime is 12010112102113. The reversal of 12010112102112 is 21120121101021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12010112102091 and 12010112102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010112102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37364064 + ... + 37684127.

It is an arithmetic number, because the mean of its divisors is an integer number (657197017344).

Almost surely, 212010112102112 is an apocalyptic number.

12010112102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010112102112 is an abundant number, since it is smaller than the sum of its proper divisors (19535344730400).

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

12010112102112 is a wasteful number, since it uses less digits than its factorization.

12010112102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75049871 (or 75049863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12010112102112 its reverse (21120121101021), we get a palindrome (33130233203133).

The spelling of 12010112102112 in words is "twelve trillion, ten billion, one hundred twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1667 3334 5001 6668 10002 13336 20004 26672 40008 53344 80016 160032 75048191 150096382 225144573 300192764 450289146 600385528 900578292 1200771056 1801156584 2401542112 3602313168 7204626336 125105334397 250210668794 375316003191 500421337588 750632006382 1000842675176 1501264012764 2001685350352 3002528025528 4003370700704 6005056051056 12010112102112