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1201120120 = 23530028003
BaseRepresentation
bin100011110010111…
…1010001101111000
310002201010020001101
41013211322031320
54424441320440
6315104101144
741523231634
oct10745721570
93081106041
101201120120
11567001362
122963047b4
13161ac7285
14b5741dc4
15706ac69a
hex4797a378

1201120120 has 16 divisors (see below), whose sum is σ = 2702520360. Its totient is φ = 480448032.

The previous prime is 1201120103. The next prime is 1201120127. The reversal of 1201120120 is 210211021.

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 = 1201120097 and 1201120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201120127) 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 3 ways as a sum of consecutive naturals, for example, 15013962 + ... + 15014041.

Almost surely, 21201120120 is an apocalyptic number.

1201120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201120120 is an abundant number, since it is smaller than the sum of its proper divisors (1501400240).

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

1201120120 is a wasteful number, since it uses less digits than its factorization.

1201120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30028014 (or 30028010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1201120120 is about 34657.1799198954. The cubic root of 1201120120 is about 1062.9891066692.

Adding to 1201120120 its reverse (210211021), we get a palindrome (1411331141).

Subtracting from 1201120120 its reverse (210211021), we obtain a palindrome (990909099).

It can be divided in two parts, 12011 and 20120, that added together give a triangular number (32131 = T253).

The spelling of 1201120120 in words is "one billion, two hundred one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 30028003 60056006 120112012 150140015 240224024 300280030 600560060 1201120120