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222121112022000 = 243253173140735749
BaseRepresentation
bin110010100000010010011001…
…111110101010101111110000
31002010110120102012120121002200
4302200102121332222233300
5213103213014134201000
62104225010303343200
764533502136133522
oct6240223176525760
91063416365517080
10222121112022000
1164858042061934
1220ab4686bb1b00
1396c2c144c1009
143cbca0d625a12
151aa2d2e816500
hexca0499faabf0

222121112022000 has 960 divisors, whose sum is σ = 848283456384000. Its totient is φ = 53927092224000.

The previous prime is 222121112021993. The next prime is 222121112022049. The reversal of 222121112022000 is 220211121222.

It is a happy number.

222121112022000 is a `hidden beast` number, since 2 + 221 + 211 + 12 + 0 + 220 + 0 + 0 = 666.

222121112022000 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38636475126 + ... + 38636480874.

It is an arithmetic number, because the mean of its divisors is an integer number (883628600400).

Almost surely, 2222121112022000 is an apocalyptic number.

222121112022000 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 222121112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424141728192000).

222121112022000 is an abundant number, since it is smaller than the sum of its proper divisors (626162344362000).

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

222121112022000 is a wasteful number, since it uses less digits than its factorization.

222121112022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222121112022000 its reverse (220211121222), we get a palindrome (222341323143222).

The spelling of 222121112022000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand".