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112011022212120 = 23325311141728367
BaseRepresentation
bin11001011101111110011001…
…001100001001110000011000
3112200121011000201122000121200
4121131332121030021300120
5104140142033141241440
61034121053033034200
732410346356342053
oct3135763114116030
9480534021560550
10112011022212120
1132765675a10099
12106905a0855960
134a66795239425
141d93510603a9a
15ce39e51bac30
hex65df99309c18

112011022212120 has 48 divisors (see below), whose sum is σ = 364035822190560. Its totient is φ = 29869605923136.

The previous prime is 112011022212059. The next prime is 112011022212139. The reversal of 112011022212120 is 21212220110211.

112011022212120 is a `hidden beast` number, since 1 + 120 + 110 + 2 + 221 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112011022212093 and 112011022212102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155570863824 + ... + 155570864543.

It is an arithmetic number, because the mean of its divisors is an integer number (7584079628970).

Almost surely, 2112011022212120 is an apocalyptic number.

112011022212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011022212120 is an abundant number, since it is smaller than the sum of its proper divisors (252024799978440).

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

112011022212120 is a wasteful number, since it uses less digits than its factorization.

112011022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311141728384 (or 311141728377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112011022212120 its reverse (21212220110211), we get a palindrome (133223242322331).

The spelling of 112011022212120 in words is "one hundred twelve trillion, eleven billion, twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 311141728367 622283456734 933425185101 1244566913468 1555708641835 1866850370202 2489133826936 2800275555303 3111417283670 3733700740404 4667125925505 5600551110606 6222834567340 7467401480808 9334251851010 11201102221212 12445669134680 14001377776515 18668503702020 22402204442424 28002755553030 37337007404040 56005511106060 112011022212120