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1221112200 = 2335271126431
BaseRepresentation
bin100100011001000…
…1011000110001000
310011002201221000210
41020302023012020
510000101042300
6321100401120
742155165610
oct11062130610
93132657023
101221112200
11577316740
122a0b461a0
13165ca6bc9
14b8267a40
157230b050
hex48c8b188

1221112200 has 192 divisors, whose sum is σ = 4719697920. Its totient is φ = 253728000.

The previous prime is 1221112187. The next prime is 1221112201. The reversal of 1221112200 is 22111221.

It is a super-2 number, since 2×12211122002 = 2982230009977680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1221112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32985 + ... + 59415.

It is an arithmetic number, because the mean of its divisors is an integer number (24581760).

Almost surely, 21221112200 is an apocalyptic number.

1221112200 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 1221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359848960).

1221112200 is an abundant number, since it is smaller than the sum of its proper divisors (3498585720).

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

1221112200 is a wasteful number, since it uses less digits than its factorization.

1221112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26468 (or 26459 counting only the distinct ones).

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

The square root of 1221112200 is about 34944.4158629101. The cubic root of 1221112200 is about 1068.8543361085.

Adding to 1221112200 its reverse (22111221), we get a palindrome (1243223421).

The spelling of 1221112200 in words is "one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".