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1200020001220 = 2253112231582597
BaseRepresentation
bin10001011101100110110…
…001000001000111000100
311020201110110100021111101
4101131212301001013010
5124130120110014340
62315140453145444
7152461420465435
oct21354661010704
94221413307441
101200020001220
11422a20008327
121746a432b284
138921379b851
144211d05348c
152133683bc9a
hex11766c411c4

1200020001220 has 48 divisors (see below), whose sum is σ = 2603462335488. Its totient is φ = 464143754880.

The previous prime is 1200020001217. The next prime is 1200020001221. The reversal of 1200020001220 is 221000200021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200020001197 and 1200020001206.

It is not an unprimeable number, because it can be changed into a prime (1200020001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33039 + ... + 1549558.

It is an arithmetic number, because the mean of its divisors is an integer number (54238798656).

Almost surely, 21200020001220 is an apocalyptic number.

1200020001220 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 1200020001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301731167744).

1200020001220 is an abundant number, since it is smaller than the sum of its proper divisors (1403442334268).

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

1200020001220 is a wasteful number, since it uses less digits than its factorization.

1200020001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583860 (or 1583858 counting only the distinct ones).

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

Adding to 1200020001220 its reverse (221000200021), we get a palindrome (1421020201241).

The spelling of 1200020001220 in words is "one trillion, two hundred billion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1223 2446 4892 6115 12230 24460 37913 75826 151652 189565 379130 758260 1582597 3165194 6330388 7912985 15825970 31651940 49060507 98121014 196242028 245302535 490605070 981210140 1935516131 3871032262 7742064524 9677580655 19355161310 38710322620 60001000061 120002000122 240004000244 300005000305 600010000610 1200020001220