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21120002121200 = 2452208792528857
BaseRepresentation
bin1001100110101011000100…
…01110010101110111110000
32202210001102021001022101012
410303111202032111313300
510232012231020334300
6112530221154330052
74306604224666403
oct463254216256760
982701367038335
1021120002121200
116802a40666804
122451245b89928
13ba27b902a288
145302dbdddd3a
152695a6871435
hex133562395df0

21120002121200 has 60 divisors (see below), whose sum is σ = 50743255393440. Its totient is φ = 8447592890880.

The previous prime is 21120002121199. The next prime is 21120002121203. The reversal of 21120002121200 is 212120002112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120002121203) 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 11 ways as a sum of consecutive naturals, for example, 7087172 + ... + 9616028.

It is an arithmetic number, because the mean of its divisors is an integer number (845720923224).

Almost surely, 221120002121200 is an apocalyptic number.

21120002121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120002121200 is an abundant number, since it is smaller than the sum of its proper divisors (29623253272240).

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

21120002121200 is a wasteful number, since it uses less digits than its factorization.

21120002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549754 (or 2549743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21120002121200 its reverse (212120002112), we get a palindrome (21332122123312).

The spelling of 21120002121200 in words is "twenty-one trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 20879 41758 83516 104395 167032 208790 334064 417580 521975 835160 1043950 1670320 2087900 2528857 4175800 5057714 8351600 10115428 12644285 20230856 25288570 40461712 50577140 63221425 101154280 126442850 202308560 252885700 505771400 1011542800 52800005303 105600010606 211200021212 264000026515 422400042424 528000053030 844800084848 1056000106060 1320000132575 2112000212120 2640000265150 4224000424240 5280000530300 10560001060600 21120002121200