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1200001220 = 2251122923819
BaseRepresentation
bin100011110000110…
…1001000011000100
310002122000101012122
41013201221003010
54424200014340
6315024105112
741510561555
oct10741510304
93078011178
101200001220
11566407750
12295a65198
131617c4bc2
14b553032c
157053adb5
hex478690c4

1200001220 has 48 divisors (see below), whose sum is σ = 2761214400. Its totient is φ = 434440320.

The previous prime is 1200001193. The next prime is 1200001247. The reversal of 1200001220 is 221000021.

It is an interprime number because it is at equal distance from previous prime (1200001193) and next prime (1200001247).

It is a junction number, because it is equal to n+sod(n) for n = 1200001198 and 1200001207.

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, 38471 + ... + 62289.

It is an arithmetic number, because the mean of its divisors is an integer number (57525300).

Almost surely, 21200001220 is an apocalyptic number.

1200001220 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 1200001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380607200).

1200001220 is an abundant number, since it is smaller than the sum of its proper divisors (1561213180).

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

1200001220 is a wasteful number, since it uses less digits than its factorization.

1200001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24068 (or 24066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1200001220 is about 34641.0337605563. The cubic root of 1200001220 is about 1062.6589293057.

Adding to 1200001220 its reverse (221000021), we get a palindrome (1421001241).

The spelling of 1200001220 in words is "one billion, two hundred million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2290 2519 4580 5038 10076 12595 23819 25190 47638 50380 95276 119095 238190 262009 476380 524018 1048036 1310045 2620090 5240180 5454551 10909102 21818204 27272755 54545510 60000061 109091020 120000122 240000244 300000305 600000610 1200001220