1121020120 has 128 divisors (see below), whose sum is σ = 2954802240. Its totient is φ = 378224640.

The previous prime is 1121020093. The next prime is 1121020129. The reversal of 1121020120 is 210201211.

It is a super-2 number, since 2×1121020120² = 2513372218889628800, which contains 22 as substring.

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 = 1121020097 and 1121020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121020129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 545014 + ... + 547066.

Almost surely, 2^1121020120 is an apocalyptic number.

1121020120 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 1121020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477401120).

1121020120 is an abundant number, since it is smaller than the sum of its proper divisors (1833782120).

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

1121020120 is a wasteful number, since it uses less digits than its factorization.

1121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

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

The square root of 1121020120 is about 33481.6385501068. The cubic root of 1121020120 is about 1038.8140203523.

Adding to 1121020120 its reverse (210201211), we get a palindrome (1331221331).

It can be divided in two parts, 1 and 121020120, that added together give a palindrome (121020121).

The spelling of 1121020120 in words is "one billion, one hundred twenty-one million, twenty thousand, one hundred twenty".