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21112020122200 = 235271719210124329
BaseRepresentation
bin1001100110011100001100…
…11101011011101001011000
32202202021210222111202012121
410303032012131123221120
510231344404122402300
6112522421140351024
74306202353061320
oct463160635335130
982667728452177
1021112020122200
1167aa614a73817
12244b7989a5474
13ba1b1644a747
1452db81ca0280
1526928ac2e81a
hex13338675ba58

21112020122200 has 576 divisors, whose sum is σ = 63311514321600. Its totient is φ = 6389895168000.

The previous prime is 21112020122189. The next prime is 21112020122209. The reversal of 21112020122200 is 222102021112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112020122209) 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 143 ways as a sum of consecutive naturals, for example, 867759636 + ... + 867783964.

It is an arithmetic number, because the mean of its divisors is an integer number (109915823475).

Almost surely, 221112020122200 is an apocalyptic number.

21112020122200 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 21112020122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31655757160800).

21112020122200 is an abundant number, since it is smaller than the sum of its proper divisors (42199494199400).

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

21112020122200 is a wasteful number, since it uses less digits than its factorization.

21112020122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24508 (or 24480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21112020122200 its reverse (222102021112), we get a palindrome (21334122143312).

The spelling of 21112020122200 in words is "twenty-one trillion, one hundred twelve billion, twenty million, one hundred twenty-two thousand, two hundred".