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12213323221200 = 2435289239478481
BaseRepresentation
bin1011000110111010001011…
…0010101100100011010000
31121020120201111100112212220
42301232202302230203100
53100100341221034300
641550420115021040
72400245351330013
oct261564262544320
947216644315786
1012213323221200
113989706615312
12145303529a780
136a793304bbaa
143031b132537a
15162a6ad90da0
hexb1ba2cac8d0

12213323221200 has 240 divisors, whose sum is σ = 39728551852800. Its totient is φ = 3206811238400.

The previous prime is 12213323221199. The next prime is 12213323221259. The reversal of 12213323221200 is 212232331221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25285960 + ... + 25764440.

It is an arithmetic number, because the mean of its divisors is an integer number (165535632720).

Almost surely, 212213323221200 is an apocalyptic number.

12213323221200 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 12213323221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19864275926400).

12213323221200 is an abundant number, since it is smaller than the sum of its proper divisors (27515228631600).

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

12213323221200 is a wasteful number, since it uses less digits than its factorization.

12213323221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478830 (or 478819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12213323221200 its reverse (212232331221), we get a palindrome (12425555552421).

The spelling of 12213323221200 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred".