Search a number
-
+
22201221210012 = 223213378980917807
BaseRepresentation
bin1010000110001000111111…
…11001110101111110011100
32220121102020021111221022200
411003010133321311332130
510402221100112210022
6115115033352011500
74450661646421005
oct503043771657634
986542207457280
1022201221210012
11708a537652199
1225a68b4090b90
13c50748b76840
1456a78b0801ac
15287788612bac
hex14311fe75f9c

22201221210012 has 288 divisors, whose sum is σ = 62848613318400. Its totient is φ = 6563347439616.

The previous prime is 22201221209989. The next prime is 22201221210041. The reversal of 22201221210012 is 21001212210222.

It is a happy number.

22201221210012 is a `hidden beast` number, since 2 + 220 + 1 + 221 + 210 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246760413 + ... + 1246778219.

It is an arithmetic number, because the mean of its divisors is an integer number (218224351800).

Almost surely, 222201221210012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201221210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31424306659200).

22201221210012 is an abundant number, since it is smaller than the sum of its proper divisors (40647392108388).

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

22201221210012 is a wasteful number, since it uses less digits than its factorization.

22201221210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18765 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22201221210012 its reverse (21001212210222), we get a palindrome (43202433420234).

The spelling of 22201221210012 in words is "twenty-two trillion, two hundred one billion, two hundred twenty-one million, two hundred ten thousand, twelve".