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10222012000200 = 233527211133765713
BaseRepresentation
bin1001010010111111111101…
…1001001110011111001000
31100012012210120222101222110
42110233333121032133020
52314434140033001300
633423532200422320
72103341662250100
oct224577731163710
940165716871873
1010222012000200
113291149317820
1211911171779a0
13591c1593b790
14274a687d6200
1512ad70ab6550
hex94bff64e7c8

10222012000200 has 1152 divisors, whose sum is σ = 44477317019520. Its totient is φ = 1907645644800.

The previous prime is 10222012000177. The next prime is 10222012000217. The reversal of 10222012000200 is 200021022201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155522544 + ... + 155588256.

It is an arithmetic number, because the mean of its divisors is an integer number (38608782135).

Almost surely, 210222012000200 is an apocalyptic number.

10222012000200 is a gapful number since it is divisible by the number (10) 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 10222012000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238658509760).

10222012000200 is an abundant number, since it is smaller than the sum of its proper divisors (34255305019320).

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

10222012000200 is a wasteful number, since it uses less digits than its factorization.

10222012000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65807 (or 65791 counting only the distinct ones).

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

Adding to 10222012000200 its reverse (200021022201), we get a palindrome (10422033022401).

The spelling of 10222012000200 in words is "ten trillion, two hundred twenty-two billion, twelve million, two hundred", and thus it is an aban number.