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12021212102200 = 23527197919872879
BaseRepresentation
bin1010111011101110100000…
…0100111011111000111000
31120120012211221101112200021
42232323220010323320320
53033423420244232300
641322245115020224
72350334561631040
oct256735004737070
946505757345607
1012021212102200
113915192926184
12142195b73a674
13692798238352
142d7b88c64720
1515ca752b7d1a
hexaeee813be38

12021212102200 has 384 divisors, whose sum is σ = 34077818880000. Its totient is φ = 3851929935360.

The previous prime is 12021212102131. The next prime is 12021212102309. The reversal of 12021212102200 is 220121212021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4175480361 + ... + 4175483239.

It is an arithmetic number, because the mean of its divisors is an integer number (88744320000).

Almost surely, 212021212102200 is an apocalyptic number.

12021212102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021212102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038909440000).

12021212102200 is an abundant number, since it is smaller than the sum of its proper divisors (22056606777800).

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

12021212102200 is a wasteful number, since it uses less digits than its factorization.

12021212102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4978 counting only the distinct ones).

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

Adding to 12021212102200 its reverse (220121212021), we get a palindrome (12241333314221).

The spelling of 12021212102200 in words is "twelve trillion, twenty-one billion, two hundred twelve million, one hundred two thousand, two hundred".