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221232123300000 = 253554317149777
BaseRepresentation
bin110010010011010110011110…
…000111110100100010100000
31002000022120210001110101121110
4302103112132013310202200
5212444131342031100000
62102304345010023320
764412331152520351
oct6223263607644240
91060276701411543
10221232123300000
116454502010319a
1220990326577b40
13965a13b0aaa27
143c8b998807d28
151a89b4dd55850
hexc9359e1f48a0

221232123300000 has 288 divisors, whose sum is σ = 742752220440384. Its totient is φ = 57623247360000.

The previous prime is 221232123299989. The next prime is 221232123300017. The reversal of 221232123300000 is 3321232122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221232123300000.

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, 4325112 + ... + 21474888.

It is an arithmetic number, because the mean of its divisors is an integer number (2579000765418).

Almost surely, 2221232123300000 is an apocalyptic number.

221232123300000 is a gapful number since it is divisible by the number (20) 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 221232123300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371376110220192).

221232123300000 is an abundant number, since it is smaller than the sum of its proper divisors (521520097140384).

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

221232123300000 is an equidigital number, since it uses as much as digits as its factorization.

221232123300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17149858 (or 17149830 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221232123300000 its reverse (3321232122), we get a palindrome (221235444532122).

The spelling of 221232123300000 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, one hundred twenty-three million, three hundred thousand".