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20222112000 = 283531712391
BaseRepresentation
bin10010110101010101…
…001111000100000000
31221012022110201122010
4102311111033010000
5312403330041000
613142342012520
71314060054516
oct226525170400
957168421563
1020222112000
118637945062
123b04417140
131ba370475c
14d9b9c24b6
157d54e1d50
hex4b554f100

20222112000 has 288 divisors, whose sum is σ = 71124528384. Its totient is φ = 5074944000.

The previous prime is 20222111993. The next prime is 20222112089. The reversal of 20222112000 is 21122202.

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 31 ways as a sum of consecutive naturals, for example, 1625805 + ... + 1638195.

It is an arithmetic number, because the mean of its divisors is an integer number (246960168).

Almost surely, 220222112000 is an apocalyptic number.

20222112000 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 20222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562264192).

20222112000 is an abundant number, since it is smaller than the sum of its proper divisors (50902416384).

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

20222112000 is a wasteful number, since it uses less digits than its factorization.

20222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12418 counting only the distinct ones).

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

Adding to 20222112000 its reverse (21122202), we get a palindrome (20243234202).

The spelling of 20222112000 in words is "twenty billion, two hundred twenty-two million, one hundred twelve thousand".