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212220221200 = 245213712332467
BaseRepresentation
bin1100010110100101001…
…1111001011100010000
3202021202222210020112121
43011221103321130100
511434111334034300
6241254223504024
721222005055031
oct3055123713420
9667688706477
10212220221200
1182002867269
1235168158014
1317020c9acb0
14a3b3066a88
1557c11e581a
hex31694f9710

212220221200 has 240 divisors, whose sum is σ = 559428944256. Its totient is φ = 76891852800.

The previous prime is 212220221189. The next prime is 212220221219. The reversal of 212220221200 is 2122022212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86022367 + ... + 86024833.

Almost surely, 2212220221200 is an apocalyptic number.

212220221200 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 212220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279714472128).

212220221200 is an abundant number, since it is smaller than the sum of its proper divisors (347208723056).

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

212220221200 is a wasteful number, since it uses less digits than its factorization.

212220221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212220221200 its reverse (2122022212), we get a palindrome (214342243412).

The spelling of 212220221200 in words is "two hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".