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222023012120 = 235721323457829
BaseRepresentation
bin1100111011000110011…
…0100100111100011000
3210020002011110121122222
43032301212210330120
512114200342341440
6245555043403212
722016636315300
oct3166146447430
9706064417588
10222023012120
1186183225168
1237043083508
1317c23b6a5b0
14aa62d32600
155b96aeb2b5
hex33b19a4f18

222023012120 has 384 divisors, whose sum is σ = 655239715200. Its totient is φ = 66983583744.

The previous prime is 222023012063. The next prime is 222023012131. The reversal of 222023012120 is 21210320222.

222023012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2220230121203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267819866 + ... + 267820694.

It is an arithmetic number, because the mean of its divisors is an integer number (1706353425).

Almost surely, 2222023012120 is an apocalyptic number.

222023012120 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 222023012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327619857600).

222023012120 is an abundant number, since it is smaller than the sum of its proper divisors (433216703080).

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

222023012120 is a wasteful number, since it uses less digits than its factorization.

222023012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 222023012120 its reverse (21210320222), we get a palindrome (243233332342).

The spelling of 222023012120 in words is "two hundred twenty-two billion, twenty-three million, twelve thousand, one hundred twenty".