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21122012120200 = 2352105610060601
BaseRepresentation
bin1001100110101110110100…
…00001111000010010001000
32202210020121100012211122121
410303113122001320102020
510232030340100321300
6112531152435501024
74310005102464655
oct463273201702210
982706540184577
1021122012120200
116803882212802
122451707157774
13ba2a495958b4
1453044cd3cc2c
1526967305b81a
hex1335da078488

21122012120200 has 24 divisors (see below), whose sum is σ = 49108678179930. Its totient is φ = 8448804848000.

The previous prime is 21122012120191. The next prime is 21122012120207. The reversal of 21122012120200 is 202121022112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13790275352676 + 7331736767524 = 3713526^2 + 2707718^2 .

It is a super-2 number, since 2×211220121202002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122012120207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52805030101 + ... + 52805030500.

Almost surely, 221122012120200 is an apocalyptic number.

21122012120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122012120200 is an abundant number, since it is smaller than the sum of its proper divisors (27986666059730).

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

21122012120200 is a wasteful number, since it uses less digits than its factorization.

21122012120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105610060617 (or 105610060608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122012120200 its reverse (202121022112), we get a palindrome (21324133142312).

The spelling of 21122012120200 in words is "twenty-one trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 105610060601 211220121202 422440242404 528050303005 844880484808 1056100606010 2112201212020 2640251515025 4224402424040 5280503030050 10561006060100 21122012120200