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22212221122000 = 2453713314438887
BaseRepresentation
bin1010000110011101011111…
…00011001011010111010000
32220122110121212210100211101
411003032233203023113100
510402411112101401000
6115124053054154144
74451531355216160
oct503165743132720
986573555710741
1022212221122000
11709417182a948
1225a8a63ab2954
13c517aca700c0
1456b111d2a5a0
15287bce185e6a
hex1433af8cb5d0

22212221122000 has 640 divisors, whose sum is σ = 68397670268928. Its totient is φ = 6786913536000.

The previous prime is 22212221121967. The next prime is 22212221122009. The reversal of 22212221122000 is 22112221222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212221122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2499401557 + ... + 2499410443.

Almost surely, 222212221122000 is an apocalyptic number.

22212221122000 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 22212221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34198835134464).

22212221122000 is an abundant number, since it is smaller than the sum of its proper divisors (46185449146928).

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

22212221122000 is a wasteful number, since it uses less digits than its factorization.

22212221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22212221122000 its reverse (22112221222), we get a palindrome (22234333343222).

The spelling of 22212221122000 in words is "twenty-two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand".