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12220001200 = 24521117237103
BaseRepresentation
bin10110110000101111…
…00110101110110000
31011112122002101021001
423120113212232300
5200011310014300
65340325011344
7611552203441
oct133027465660
934478071231
1012220001200
115200965850
122450553b54
1311c9902954
1483cd292c8
154b7c2b16a
hex2d85e6bb0

12220001200 has 240 divisors, whose sum is σ = 35390877696. Its totient is φ = 3999846400.

The previous prime is 12220001191. The next prime is 12220001207. The reversal of 12220001200 is 210002221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12220001207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716849 + ... + 1723951.

Almost surely, 212220001200 is an apocalyptic number.

12220001200 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 12220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695438848).

12220001200 is an abundant number, since it is smaller than the sum of its proper divisors (23170876496).

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

12220001200 is a wasteful number, since it uses less digits than its factorization.

12220001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220001200 its reverse (210002221), we get a palindrome (12430003421).

The spelling of 12220001200 in words is "twelve billion, two hundred twenty million, one thousand, two hundred".