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22100012022000 = 24353112137156691
BaseRepresentation
bin1010000011001100011110…
…10111011011100011110000
32220020201222211120110221210
411001212033113123203300
510344041311034201000
6115000334431520120
74440446620466013
oct501461727334360
986221884513853
1022100012022000
117050620705260
12258b169389040
13c440399a6843
145659095bb37a
15284d13175350
hex14198f5db8f0

22100012022000 has 320 divisors, whose sum is σ = 77764620031488. Its totient is φ = 5355037440000.

The previous prime is 22100012021981. The next prime is 22100012022013. The reversal of 22100012022000 is 22021000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 140963655 + ... + 141120345.

Almost surely, 222100012022000 is an apocalyptic number.

22100012022000 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 22100012022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38882310015744).

22100012022000 is an abundant number, since it is smaller than the sum of its proper divisors (55664608009488).

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

22100012022000 is a wasteful number, since it uses less digits than its factorization.

22100012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158865 (or 158849 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22100012022000 its reverse (22021000122), we get a palindrome (22122033022122).

The spelling of 22100012022000 in words is "twenty-two trillion, one hundred billion, twelve million, twenty-two thousand".