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12222020221200 = 24335243101260573
BaseRepresentation
bin1011000111011010100100…
…1011000111100100010000
31121021102011121021221001000
42301312221023013210100
53100221144134034300
641554415113542000
72401004024525106
oct261665113074420
947242147257030
1012222020221200
113992369873119
121454861a14900
136a86baac0a3a
143037983c5c76
15162dc9669c00
hexb1da92c7910

12222020221200 has 480 divisors, whose sum is σ = 44953892945280. Its totient is φ = 3151878912000.

The previous prime is 12222020221199. The next prime is 12222020221223. The reversal of 12222020221200 is 212202022221.

12222020221200 is a `hidden beast` number, since 1 + 2 + 2 + 220 + 20 + 221 + 200 = 666.

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

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, 46774114 + ... + 47034686.

It is an arithmetic number, because the mean of its divisors is an integer number (93653943636).

Almost surely, 212222020221200 is an apocalyptic number.

12222020221200 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 12222020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476946472640).

12222020221200 is an abundant number, since it is smaller than the sum of its proper divisors (32731872724080).

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

12222020221200 is a wasteful number, since it uses less digits than its factorization.

12222020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260744 (or 260727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222020221200 its reverse (212202022221), we get a palindrome (12434222243421).

The spelling of 12222020221200 in words is "twelve trillion, two hundred twenty-two billion, twenty million, two hundred twenty-one thousand, two hundred".