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1120201221200 = 245210127727753
BaseRepresentation
bin10000010011010001001…
…100100010010001010000
310222002102202020010120112
4100103101030202101100
5121323133003034300
62214340251500452
7143634426163115
oct20232114422120
93862382203515
101120201221200
113a2090427526
12161129157728
1381833076cb9
143c30a3ac90c
151e214217e35
hex104d1322450

1120201221200 has 60 divisors (see below), whose sum is σ = 2717929902588. Its totient is φ = 443644032000.

The previous prime is 1120201221169. The next prime is 1120201221253. The reversal of 1120201221200 is 21221020211.

It can be written as a sum of positive squares in 6 ways, for example, as 45064496656 + 1075136724544 = 212284^2 + 1036888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13823477 + ... + 13904276.

Almost surely, 21120201221200 is an apocalyptic number.

1120201221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120201221200 is an abundant number, since it is smaller than the sum of its proper divisors (1597728681388).

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

1120201221200 is a wasteful number, since it uses less digits than its factorization.

1120201221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27727872 (or 27727861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1120201221200 its reverse (21221020211), we get a palindrome (1141422241411).

The spelling of 1120201221200 in words is "one trillion, one hundred twenty billion, two hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 27727753 55455506 110911012 138638765 221822024 277277530 443644048 554555060 693193825 1109110120 1386387650 2218220240 2772775300 2800503053 5545550600 5601006106 11091101200 11202012212 14002515265 22404024424 28005030530 44808048848 56010061060 70012576325 112020122120 140025152650 224040244240 280050305300 560100610600 1120201221200