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222002020122120 = 233457223437313903
BaseRepresentation
bin110010011110100011011111…
…100011000111111000001000
31002010001012000111011020210000
4302132203133203013320020
5213044240114122401440
62104054153050523000
764522055004524400
oct6236433743077010
91063035014136700
10222002020122120
1164811589861887
1220a9558b436460
1396b49154a81c4
143cb6d52b47800
151a9ebae43c730
hexc9e8df8c7e08

222002020122120 has 960 divisors, whose sum is σ = 906009006481920. Its totient is φ = 48522498038784.

The previous prime is 222002020122109. The next prime is 222002020122121. The reversal of 222002020122120 is 21221020200222.

222002020122120 is a `hidden beast` number, since 2 + 2 + 200 + 20 + 201 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222002020122093 and 222002020122102.

It is not an unprimeable number, because it can be changed into a prime (222002020122121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15967915089 + ... + 15967928991.

It is an arithmetic number, because the mean of its divisors is an integer number (943759381752).

Almost surely, 2222002020122120 is an apocalyptic number.

222002020122120 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 222002020122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453004503240960).

222002020122120 is an abundant number, since it is smaller than the sum of its proper divisors (684006986359800).

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

222002020122120 is a wasteful number, since it uses less digits than its factorization.

222002020122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18336 (or 18316 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222002020122120 its reverse (21221020200222), we get a palindrome (243223040322342).

The spelling of 222002020122120 in words is "two hundred twenty-two trillion, two billion, twenty million, one hundred twenty-two thousand, one hundred twenty".