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1200221002200 = 2335211990118367
BaseRepresentation
bin10001011101110010101…
…111110001100111011000
311020201222110120012000010
4101131302233301213120
5124131023034032300
62315212433241520
7152466411122223
oct21356257614730
94221873505003
101200221002200
11423013514340
1217473b7032a0
138924631663c
144213ba165ba
15213492e2a50
hex11772bf19d8

1200221002200 has 192 divisors, whose sum is σ = 4059560171520. Its totient is φ = 290917440000.

The previous prime is 1200221002193. The next prime is 1200221002207. The reversal of 1200221002200 is 22001220021.

It is an interprime number because it is at equal distance from previous prime (1200221002193) and next prime (1200221002207).

It is a super-3 number, since 3×12002210022003 (a number of 37 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1200221002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65337417 + ... + 65355783.

It is an arithmetic number, because the mean of its divisors is an integer number (21143542560).

Almost surely, 21200221002200 is an apocalyptic number.

1200221002200 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 1200221002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029780085760).

1200221002200 is an abundant number, since it is smaller than the sum of its proper divisors (2859339169320).

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

1200221002200 is a wasteful number, since it uses less digits than its factorization.

1200221002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28298 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1200221002200 its reverse (22001220021), we get a palindrome (1222222222221).

The spelling of 1200221002200 in words is "one trillion, two hundred billion, two hundred twenty-one million, two thousand, two hundred".