Search a number
-
+
21120012222000 = 243533520002037
BaseRepresentation
bin1001100110101011000101…
…10100110111111000110000
32202210001102222001111001220
410303111202310313320300
510232012241112101000
6112530222155025040
74306604406565656
oct463254264677060
982701388044056
1021120012222000
116802a4633567a
12245124943b180
13ba27bb155993
145302dd4acdd6
152695a76b91a0
hex133562d37e30

21120012222000 has 80 divisors (see below), whose sum is σ = 68090919423072. Its totient is φ = 5632003257600.

The previous prime is 21120012221981. The next prime is 21120012222031. The reversal of 21120012222000 is 22221002112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 1759995019 + ... + 1760007018.

Almost surely, 221120012222000 is an apocalyptic number.

21120012222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120012222000 is an abundant number, since it is smaller than the sum of its proper divisors (46970907201072).

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

21120012222000 is a wasteful number, since it uses less digits than its factorization.

21120012222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520002063 (or 3520002047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21120012222000 its reverse (22221002112), we get a palindrome (21142233224112).

The spelling of 21120012222000 in words is "twenty-one trillion, one hundred twenty billion, twelve million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3520002037 7040004074 10560006111 14080008148 17600010185 21120012222 28160016296 35200020370 42240024444 52800030555 56320032592 70400040740 84480048888 88000050925 105600061110 140800081480 168960097776 176000101850 211200122220 264000152775 281600162960 352000203700 422400244440 440000254625 528000305550 704000407400 844800488880 880000509250 1056000611100 1320000763875 1408000814800 1760001018500 2112001222200 2640001527750 3520002037000 4224002444400 5280003055500 7040004074000 10560006111000 21120012222000