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12220111200 = 25352111014583
BaseRepresentation
bin10110110000110000…
…00001100101100000
31011112122021222011010
423120120001211200
5200011322024300
65340331220520
7611553142233
oct133030014540
934478258133
1012220111200
115200a30460
1224505a7740
1311c9940a3b
1483cd5741a
154b7c4da50
hex2d8601960

12220111200 has 288 divisors, whose sum is σ = 43831694592. Its totient is φ = 2932480000.

The previous prime is 12220111153. The next prime is 12220111243. The reversal of 12220111200 is 211102221.

It is a super-2 number, since 2×122201112002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 2664109 + ... + 2668691.

It is an arithmetic number, because the mean of its divisors is an integer number (152193384).

Almost surely, 212220111200 is an apocalyptic number.

12220111200 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 12220111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21915847296).

12220111200 is an abundant number, since it is smaller than the sum of its proper divisors (31611583392).

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

12220111200 is a wasteful number, since it uses less digits than its factorization.

12220111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220111200 its reverse (211102221), we get a palindrome (12431213421).

The spelling of 12220111200 in words is "twelve billion, two hundred twenty million, one hundred eleven thousand, two hundred".