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12213321221200 = 24521179149235813
BaseRepresentation
bin1011000110111010001010…
…1011000100010001010000
31121020120201100120221101211
42301232202223010101100
53100100340213034300
641550420004105504
72400245325330061
oct261564253042120
947216640527354
1012213321221200
113989705479720
121453034695294
136a79327cb768
143031b0d64568
15162a6aae84ba
hexb1ba2ac4450

12213321221200 has 240 divisors, whose sum is σ = 32632884576000. Its totient is φ = 4355541964800.

The previous prime is 12213321221191. The next prime is 12213321221203. The reversal of 12213321221200 is 212212331221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213321221203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51674494 + ... + 51910306.

It is an arithmetic number, because the mean of its divisors is an integer number (135970352400).

Almost surely, 212213321221200 is an apocalyptic number.

12213321221200 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 12213321221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316442288000).

12213321221200 is an abundant number, since it is smaller than the sum of its proper divisors (20419563354800).

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

12213321221200 is a wasteful number, since it uses less digits than its factorization.

12213321221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236070 (or 236059 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12213321221200 its reverse (212212331221), we get a palindrome (12425533552421).

The spelling of 12213321221200 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-one million, two hundred twenty-one thousand, two hundred".