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12201021102200 = 23527107167487717
BaseRepresentation
bin1011000110001100010110…
…0001110101100001111000
31121012101222010202011011212
42301203011201311201320
53044400142400232300
641541023253542252
72366331451126610
oct261430541654170
947171863664155
1012201021102200
113984473372217
121450781344988
136a6722426c38
14302765541a40
1516259ad43935
hexb18c5875878

12201021102200 has 192 divisors, whose sum is σ = 32918858058240. Its totient is φ = 4119288353280.

The previous prime is 12201021102131. The next prime is 12201021102299. The reversal of 12201021102200 is 220112010221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24772742 + ... + 25260458.

It is an arithmetic number, because the mean of its divisors is an integer number (171452385720).

Almost surely, 212201021102200 is an apocalyptic number.

12201021102200 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 12201021102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459429029120).

12201021102200 is an abundant number, since it is smaller than the sum of its proper divisors (20717836956040).

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

12201021102200 is a wasteful number, since it uses less digits than its factorization.

12201021102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488014 (or 488005 counting only the distinct ones).

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

Adding to 12201021102200 its reverse (220112010221), we get a palindrome (12421133112421).

The spelling of 12201021102200 in words is "twelve trillion, two hundred one billion, twenty-one million, one hundred two thousand, two hundred".