1211121120 has 192 divisors, whose sum is σ = 4343238144. Its totient is φ = 280811520.

The previous prime is 1211121091. The next prime is 1211121139. The reversal of 1211121120 is 211211121.

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 = 1211121096 and 1211121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116454 + ... + 126426.

It is an arithmetic number, because the mean of its divisors is an integer number (22621032).

Almost surely, 2^1211121120 is an apocalyptic number.

1211121120 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 1211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171619072).

1211121120 is an abundant number, since it is smaller than the sum of its proper divisors (3132117024).

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

1211121120 is a wasteful number, since it uses less digits than its factorization.

1211121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1211121120 is about 34801.1654977244. The cubic root of 1211121120 is about 1065.9312448102.

Adding to 1211121120 its reverse (211211121), we get a palindrome (1422332241).

Subtracting from 1211121120 its reverse (211211121), we obtain a palindrome (999909999).

The spelling of 1211121120 in words is "one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".