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12241201424112 = 243294738973751
BaseRepresentation
bin1011001000100010000001…
…1101100110011011110000
31121100020200101002222211200
42302020200131212123300
53101024440031032422
642011310313411200
72402253245206353
oct262104035463360
947306611088750
1012241201424112
11399a512092831
121458515709b00
136aa456963a4b
14304697a4c29a
1516364d5992ac
hexb22207666f0

12241201424112 has 60 divisors (see below), whose sum is σ = 34261982558544. Its totient is φ = 4079969280000.

The previous prime is 12241201424107. The next prime is 12241201424117. The reversal of 12241201424112 is 21142410214221.

12241201424112 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 201 + 42 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12241201424107) and next prime (12241201424117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241201424117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3122764 + ... + 5850987.

Almost surely, 212241201424112 is an apocalyptic number.

12241201424112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12241201424112 is an abundant number, since it is smaller than the sum of its proper divisors (22020781134432).

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

12241201424112 is a wasteful number, since it uses less digits than its factorization.

12241201424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983238 (or 8983229 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12241201424112 its reverse (21142410214221), we get a palindrome (33383611638333).

The spelling of 12241201424112 in words is "twelve trillion, two hundred forty-one billion, two hundred one million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9473 18946 28419 37892 56838 75784 85257 113676 151568 170514 227352 341028 454704 682056 1364112 8973751 17947502 26921253 35895004 53842506 71790008 80763759 107685012 143580016 161527518 215370024 323055036 430740048 646110072 1292220144 85008343223 170016686446 255025029669 340033372892 510050059338 680066745784 765075089007 1020100118676 1360133491568 1530150178014 2040200237352 3060300356028 4080400474704 6120600712056 12241201424112