Search a number
-
+
12022221112000 = 265311616733427
BaseRepresentation
bin1010111011110010010000…
…1110000000001011000000
31120120022110021000112220121
42232330210032000023000
53033433002101041000
641322533201350024
72350401563235421
oct256744416001300
946508407015817
1012022221112000
113915660443180
121421ba1638314
136928c92ab478
142d7c42c79648
1515cad3b78b1a
hexaef243802c0

12022221112000 has 448 divisors, whose sum is σ = 33505843917312. Its totient is φ = 4235742720000.

The previous prime is 12022221111977. The next prime is 12022221112051. The reversal of 12022221112000 is 21112222021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 359639287 + ... + 359672713.

Almost surely, 212022221112000 is an apocalyptic number.

12022221112000 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 12022221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752921958656).

12022221112000 is an abundant number, since it is smaller than the sum of its proper divisors (21483622805312).

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

12022221112000 is a wasteful number, since it uses less digits than its factorization.

12022221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33593 (or 33573 counting only the distinct ones).

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

Adding to 12022221112000 its reverse (21112222021), we get a palindrome (12043333334021).

The spelling of 12022221112000 in words is "twelve trillion, twenty-two billion, two hundred twenty-one million, one hundred twelve thousand".