Search a number
-
+
12221121022110 = 234571113113133387
BaseRepresentation
bin1011000111010111001110…
…0100111100100010011110
31121021022211221021212210000
42301311303210330202132
53100212323440201420
641554145552555130
72400642525463320
oct261656344744236
947238757255700
1012221121022110
113991a48238580
121454650852aa6
136a85a6717a80
14303710bd7610
15162d7574a690
hexb1d7393c89e

12221121022110 has 640 divisors, whose sum is σ = 44512168909824. Its totient is φ = 2323349360640.

The previous prime is 12221121022073. The next prime is 12221121022163. The reversal of 12221121022110 is 1122012112221.

12221121022110 is a `hidden beast` number, since 1 + 2 + 221 + 1 + 210 + 221 + 10 = 666.

It is a super-2 number, since 2×122211210221102 (a number of 27 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 91554837 + ... + 91688223.

Almost surely, 212221121022110 is an apocalyptic number.

12221121022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221121022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256084454912).

12221121022110 is an abundant number, since it is smaller than the sum of its proper divisors (32291047887714).

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

12221121022110 is a wasteful number, since it uses less digits than its factorization.

12221121022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133550 (or 133541 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221121022110 its reverse (1122012112221), we get a palindrome (13343133134331).

The spelling of 12221121022110 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand, one hundred ten".