Search a number
-
+
22112020011200 = 26527231016191373
BaseRepresentation
bin1010000011100010110110…
…00110010001100011000000
32220021212222200201112102112
411001301123012101203000
510344240404110324300
6115010042144434452
74441353316635620
oct501613306214300
986255880645375
1022112020011200
117055722923279
12259155a918a28
13c452016a78b2
145663282b8880
152852b7472e35
hex141c5b1918c0

22112020011200 has 672 divisors, whose sum is σ = 65681828951040. Its totient is φ = 7163025408000.

The previous prime is 22112020011161. The next prime is 22112020011217. The reversal of 22112020011200 is 211002021122.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 95 ways as a sum of consecutive naturals, for example, 16104893714 + ... + 16104895086.

Almost surely, 222112020011200 is an apocalyptic number.

22112020011200 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 22112020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32840914475520).

22112020011200 is an abundant number, since it is smaller than the sum of its proper divisors (43569808939840).

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

22112020011200 is a wasteful number, since it uses less digits than its factorization.

22112020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22112020011200 its reverse (211002021122), we get a palindrome (22323022032322).

The spelling of 22112020011200 in words is "twenty-two trillion, one hundred twelve billion, twenty million, eleven thousand, two hundred".