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1200323311220 = 225111012534851
BaseRepresentation
bin10001011101111000110…
…110000011011001110100
311020202020121002000121002
4101131320312003121310
5124131230231424340
62315230530142432
7152502062542235
oct21357066033164
94222217060532
101200323311220
11423066242650
12174769a21a18
1389261588117
144214b44908c
15213532a1715
hex11778d83674

1200323311220 has 72 divisors (see below), whose sum is σ = 2777332398624. Its totient is φ = 432158800000.

The previous prime is 1200323311211. The next prime is 1200323311241. The reversal of 1200323311220 is 221133230021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1200323311192 and 1200323311201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976795 + ... + 2511645.

It is an arithmetic number, because the mean of its divisors is an integer number (38574061092).

Almost surely, 21200323311220 is an apocalyptic number.

1200323311220 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 1200323311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388666199312).

1200323311220 is an abundant number, since it is smaller than the sum of its proper divisors (1577009087404).

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

1200323311220 is a wasteful number, since it uses less digits than its factorization.

1200323311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535073 (or 534970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1200323311220 its reverse (221133230021), we get a palindrome (1421456541241).

The spelling of 1200323311220 in words is "one trillion, two hundred billion, three hundred twenty-three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 10201 11110 20402 22220 40804 51005 102010 112211 204020 224422 448844 534851 561055 1069702 1122110 2139404 2244220 2674255 5348510 5883361 10697020 11766722 23533444 29416805 54019951 58833610 108039902 117667220 216079804 270099755 540199510 594219461 1080399020 1188438922 2376877844 2971097305 5456015051 5942194610 10912030102 11884389220 21824060204 27280075255 54560150510 60016165561 109120301020 120032331122 240064662244 300080827805 600161655610 1200323311220