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222012221200000 = 27557117208189
BaseRepresentation
bin110010011110101100111111…
…100101001001011010000000
31002010002011100102021200220021
4302132230333211021122000
5213044422012111400000
62104103001215223224
764522565543333260
oct6236547745113200
91063064312250807
10222012221200000
1164815944025660
1220a97557817b14
1396b587ca3946a
143cb763d88d7a0
151aa00a9cb911a
hexc9eb3f949680

222012221200000 has 384 divisors, whose sum is σ = 689239054627200. Its totient is φ = 69198604800000.

The previous prime is 222012221199953. The next prime is 222012221200001. The reversal of 222012221200000 is 2122210222.

222012221200000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (222012221200001) 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, 27195906 + ... + 34404094.

It is an arithmetic number, because the mean of its divisors is an integer number (1794893371425).

Almost surely, 2222012221200000 is an apocalyptic number.

222012221200000 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 222012221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344619527313600).

222012221200000 is an abundant number, since it is smaller than the sum of its proper divisors (467226833427200).

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

222012221200000 is an frugal number, since it uses more digits than its factorization.

222012221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208246 (or 7208214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222012221200000 its reverse (2122210222), we get a palindrome (222014343410222).

The spelling of 222012221200000 in words is "two hundred twenty-two trillion, twelve billion, two hundred twenty-one million, two hundred thousand".