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112011120122112 = 283248615937553
BaseRepresentation
bin11001011101111110011111…
…000001101001100100000000
3112200121011021112212100212200
4121131332133001221210000
5104140142233222401422
61034121110451353200
732410351655510661
oct3135763701514400
9480534245770780
10112011120122112
1132765716204342
12106906095b2800
134a667ac5ca833
141d9351d60d368
15ce39edaab2ac
hex65df9f069900

112011120122112 has 54 divisors (see below), whose sum is σ = 322955673171222. Its totient is φ = 37337040039936.

The previous prime is 112011120122071. The next prime is 112011120122119. The reversal of 112011120122112 is 211221021110211.

It is a happy number.

112011120122112 is a `hidden beast` number, since 1 + 120 + 111 + 201 + 221 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75905634963456 + 36105485158656 = 8712384^2 + 6008784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112011120122119) 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 5 ways as a sum of consecutive naturals, for example, 24307966473 + ... + 24307971080.

Almost surely, 2112011120122112 is an apocalyptic number.

112011120122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112011120122112 is an abundant number, since it is smaller than the sum of its proper divisors (210944553049110).

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

112011120122112 is an equidigital number, since it uses as much as digits as its factorization.

112011120122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48615937575 (or 48615937558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112011120122112 its reverse (211221021110211), we get a palindrome (323232141232323).

The spelling of 112011120122112 in words is "one hundred twelve trillion, eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 48615937553 97231875106 145847812659 194463750212 291695625318 388927500424 437543437977 583391250636 777855000848 875086875954 1166782501272 1555710001696 1750173751908 2333565002544 3111420003392 3500347503816 4667130005088 6222840006784 7000695007632 9334260010176 12445680013568 14001390015264 18668520020352 28002780030528 37337040040704 56005560061056 112011120122112