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21120012011112 = 2337217959193887
BaseRepresentation
bin1001100110101011000101…
…10100000100011001101000
32202210001102221122202210020
410303111202310010121220
510232012241033323422
6112530222150320440
74306604405030100
oct463254264043150
982701387582706
1021120012011112
116802a46201193
122451249359120
13ba27bb0b09b1
145302dd456200
152695a767695c
hex133562d04668

21120012011112 has 48 divisors (see below), whose sum is σ = 61420443096960. Its totient is φ = 6034289145696.

The previous prime is 21120012010991. The next prime is 21120012011129. The reversal of 21120012011112 is 21111021002112.

It is a happy number.

It is a super-2 number, since 2×211200120111122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21120012011091 and 21120012011100.

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 11 ways as a sum of consecutive naturals, for example, 8979595768 + ... + 8979598119.

It is an arithmetic number, because the mean of its divisors is an integer number (1279592564520).

Almost surely, 221120012011112 is an apocalyptic number.

It is an amenable number.

21120012011112 is an abundant number, since it is smaller than the sum of its proper divisors (40300431085848).

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

21120012011112 is a wasteful number, since it uses less digits than its factorization.

21120012011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959193910 (or 17959193899 counting only the distinct ones).

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

Adding to 21120012011112 its reverse (21111021002112), we get a palindrome (42231033013224).

The spelling of 21120012011112 in words is "twenty-one trillion, one hundred twenty billion, twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 17959193887 35918387774 53877581661 71836775548 107755163322 125714357209 143673551096 215510326644 251428714418 377143071627 431020653288 502857428836 754286143254 880000500463 1005714857672 1508572286508 1760001000926 2640001501389 3017144573016 3520002001852 5280003002778 7040004003704 10560006005556 21120012011112