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22012122010200 = 23352725231431571
BaseRepresentation
bin1010000000101000110001…
…01101101001001001011000
32212221100010122000021111120
411000110120231221021120
510341121311213311300
6114452121303525240
74431215621636400
oct500243055511130
985840118007446
1022012122010200
11701731a024573
12257611b159820
13c3897105b7ba
1456156ca09800
152828bc1853a0
hex140518b69258

22012122010200 has 288 divisors, whose sum is σ = 79530238042560. Its totient is φ = 5021718508800.

The previous prime is 22012122010121. The next prime is 22012122010223. The reversal of 22012122010200 is 201022121022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22012122010200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14660415 + ... + 16091985.

It is an arithmetic number, because the mean of its divisors is an integer number (276146659870).

Almost surely, 222012122010200 is an apocalyptic number.

22012122010200 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 22012122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39765119021280).

22012122010200 is an abundant number, since it is smaller than the sum of its proper divisors (57518116032360).

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

22012122010200 is a wasteful number, since it uses less digits than its factorization.

22012122010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432127 (or 1432111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22012122010200 its reverse (201022121022), we get a palindrome (22213144131222).

The spelling of 22012122010200 in words is "twenty-two trillion, twelve billion, one hundred twenty-two million, ten thousand, two hundred".