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1200112220 = 225297612719
BaseRepresentation
bin100011110001000…
…0100001001011100
310002122020000110202
41013202010021130
54424212042340
6315030323032
741511533306
oct10742041134
93078200422
101200112220
1156648308a
12295ab9478
13161833598
14b555c976
157055dc15
hex4788425c

1200112220 has 48 divisors (see below), whose sum is σ = 2611526400. Its totient is φ = 462712320.

The previous prime is 1200112183. The next prime is 1200112237. The reversal of 1200112220 is 222110021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440021 + ... + 442739.

It is an arithmetic number, because the mean of its divisors is an integer number (54406800).

Almost surely, 21200112220 is an apocalyptic number.

1200112220 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 1200112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305763200).

1200112220 is an abundant number, since it is smaller than the sum of its proper divisors (1411414180).

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

1200112220 is a wasteful number, since it uses less digits than its factorization.

1200112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1200112220 is about 34642.6358696910. The cubic root of 1200112220 is about 1062.6916935791.

Adding to 1200112220 its reverse (222110021), we get a palindrome (1422222241).

The spelling of 1200112220 in words is "one billion, two hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 761 1522 2719 3044 3805 5438 7610 10876 13595 15220 22069 27190 44138 54380 78851 88276 110345 157702 220690 315404 394255 441380 788510 1577020 2069159 4138318 8276636 10345795 20691590 41383180 60005611 120011222 240022444 300028055 600056110 1200112220