1031121120 has 96 divisors (see below), whose sum is σ = 3280344480. Its totient is φ = 272230400.

The previous prime is 1031121083. The next prime is 1031121121. The reversal of 1031121120 is 211211301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1031121120² = 2126421528220108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1031121096 and 1031121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37846 + ... + 59114.

It is an arithmetic number, because the mean of its divisors is an integer number (34170255).

Almost surely, 2^1031121120 is an apocalyptic number.

1031121120 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 1031121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640172240).

1031121120 is an abundant number, since it is smaller than the sum of its proper divisors (2249223360).

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

1031121120 is a wasteful number, since it uses less digits than its factorization.

1031121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21388 (or 21380 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1031121120 is about 32111.0747250851. The cubic root of 1031121120 is about 1010.2679157242.

Adding to 1031121120 its reverse (211211301), we get a palindrome (1242332421).

The spelling of 1031121120 in words is "one billion, thirty-one million, one hundred twenty-one thousand, one hundred twenty".