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12101222021200 = 2452132327158081
BaseRepresentation
bin1011000000011000100100…
…0010100011100001010000
31120211212100222011112222121
42300012021002203201100
53041231300314134300
641423120305144024
72356166364004024
oct260061102434120
946755328145877
1012101222021200
113946110397584
12143536a92b014
1369a1a9433ba0
142db9b9062384
1515eba959581a
hexb01890a3850

12101222021200 has 60 divisors (see below), whose sum is σ = 31309584835228. Its totient is φ = 4468143513600.

The previous prime is 12101222021113. The next prime is 12101222021201. The reversal of 12101222021200 is 212022210121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 675376144 + 12100546645056 = 25988^2 + 3478584^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101222021201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1163573841 + ... + 1163584240.

Almost surely, 212101222021200 is an apocalyptic number.

12101222021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101222021200 is an abundant number, since it is smaller than the sum of its proper divisors (19208362814028).

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

12101222021200 is a wasteful number, since it uses less digits than its factorization.

12101222021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327158112 (or 2327158101 counting only the distinct ones).

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

Adding to 12101222021200 its reverse (212022210121), we get a palindrome (12313244231321).

The spelling of 12101222021200 in words is "twelve trillion, one hundred one billion, two hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2327158081 4654316162 9308632324 11635790405 18617264648 23271580810 30253055053 37234529296 46543161620 58178952025 60506110106 93086323240 116357904050 121012220212 151265275265 186172646480 232715808100 242024440424 302530550530 465431616200 484048880848 605061101060 756326376325 930863232400 1210122202120 1512652752650 2420244404240 3025305505300 6050611010600 12101222021200