1001122120 has 32 divisors (see below), whose sum is σ = 2258937720. Its totient is φ = 399308800.

The previous prime is 1001122097. The next prime is 1001122121. The reversal of 1001122120 is 212211001.

It can be written as a sum of positive squares in 4 ways, for example, as 955180836 + 45941284 = 30906^2 + 6778^2 .

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 = 1001122097 and 1001122106.

It is not an unprimeable number, because it can be changed into a prime (1001122121) 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 7 ways as a sum of consecutive naturals, for example, 21331 + ... + 49570.

Almost surely, 2^1001122120 is an apocalyptic number.

1001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122120 is an abundant number, since it is smaller than the sum of its proper divisors (1257815600).

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

1001122120 is a wasteful number, since it uses less digits than its factorization.

1001122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71265 (or 71261 counting only the distinct ones).

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

The square root of 1001122120 is about 31640.5139022741. The cubic root of 1001122120 is about 1000.3739001812.

Adding to 1001122120 its reverse (212211001), we get a palindrome (1213333121).

It can be divided in two parts, 10011 and 22120, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 1001122120 in words is "one billion, one million, one hundred twenty-two thousand, one hundred twenty".