Search a number
-
+
12212002002200 = 235271113677112823
BaseRepresentation
bin1011000110110101010000…
…0010101001010100011000
31121020110022102020200010212
42301231110002221110120
53100040140003032300
641550041040430252
72400200536212410
oct261552402512430
947213272220125
1012212002002200
113989098844990
121452926918388
136a77823c49c0
143030c7a7d640
151629dedad935
hexb1b540a9518

12212002002200 has 768 divisors, whose sum is σ = 39238928547840. Its totient is φ = 3412088064000.

The previous prime is 12212002002199. The next prime is 12212002002223. The reversal of 12212002002200 is 220020021221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 952344989 + ... + 952357811.

It is an arithmetic number, because the mean of its divisors is an integer number (51092354880).

Almost surely, 212212002002200 is an apocalyptic number.

12212002002200 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 12212002002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19619464273920).

12212002002200 is an abundant number, since it is smaller than the sum of its proper divisors (27026926545640).

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

12212002002200 is a wasteful number, since it uses less digits than its factorization.

12212002002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12212002002200 its reverse (220020021221), we get a palindrome (12432022023421).

The spelling of 12212002002200 in words is "twelve trillion, two hundred twelve billion, two million, two thousand, two hundred".