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222001112212000 = 25531167103787929
BaseRepresentation
bin110010011110100010101001…
…011011101110001000100000
31002010001002200012202122020021
4302132202221123232020200
5213044231234211241000
62104053523015123224
764522023341442202
oct6236425133561040
91063032605678207
10222001112212000
1164811163317540
1220a95377373514
1396b47cc372294
143cb6ca832c772
151a9eb5989c11a
hexc9e8a96ee220

222001112212000 has 768 divisors, whose sum is σ = 611220359393280. Its totient is φ = 78565994496000.

The previous prime is 222001112211869. The next prime is 222001112212021. The reversal of 222001112212000 is 212211100222.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238967827536 + ... + 238967828464.

It is an arithmetic number, because the mean of its divisors is an integer number (795859842960).

Almost surely, 2222001112212000 is an apocalyptic number.

222001112212000 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 222001112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305610179696640).

222001112212000 is an abundant number, since it is smaller than the sum of its proper divisors (389219247181280).

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

222001112212000 is a wasteful number, since it uses less digits than its factorization.

222001112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222001112212000 its reverse (212211100222), we get a palindrome (222213323312222).

The spelling of 222001112212000 in words is "two hundred twenty-two trillion, one billion, one hundred twelve million, two hundred twelve thousand".