1011211120 has 40 divisors (see below), whose sum is σ = 2352996720. Its totient is φ = 404152320.

The previous prime is 1011211079. The next prime is 1011211127. The reversal of 1011211120 is 211121101.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 1011211097 and 1011211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011211127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108235 + ... + 117205.

It is an arithmetic number, because the mean of its divisors is an integer number (58824918).

Almost surely, 2^1011211120 is an apocalyptic number.

1011211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011211120 is an abundant number, since it is smaller than the sum of its proper divisors (1341785600).

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

1011211120 is a wasteful number, since it uses less digits than its factorization.

1011211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1011211120 is about 31799.5459087076. The cubic root of 1011211120 is about 1003.7231608697.

Adding to 1011211120 its reverse (211121101), we get a palindrome (1222332221).

The spelling of 1011211120 in words is "one billion, eleven million, two hundred eleven thousand, one hundred twenty".