Search a number
-
+
21222111120000 = 27354717970571
BaseRepresentation
bin1001101001101001010000…
…11001010000101010000000
32210010210222102010220002120
410310310220121100222000
510240200340421320000
6113045145300444240
74320150461111430
oct464645031205200
983123872126076
1021222111120000
11684227951691a
122468ba20a9680
13bac30c7587ab
145352271b02c0
1526c080cee6a0
hex134d28650a80

21222111120000 has 640 divisors, whose sum is σ = 80955455961600. Its totient is φ = 4823600640000.

The previous prime is 21222111119983. The next prime is 21222111120019. The reversal of 21222111120000 is 2111122212.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 300684715 + ... + 300755285.

It is an arithmetic number, because the mean of its divisors is an integer number (126492899940).

Almost surely, 221222111120000 is an apocalyptic number.

21222111120000 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 21222111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477727980800).

21222111120000 is an abundant number, since it is smaller than the sum of its proper divisors (59733344841600).

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

21222111120000 is an equidigital number, since it uses as much as digits as its factorization.

21222111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70794 (or 70767 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21222111120000 its reverse (2111122212), we get a palindrome (21224222242212).

The spelling of 21222111120000 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty thousand".