1211031120 has 320 divisors, whose sum is σ = 4399718400. Its totient is φ = 272885760.

The previous prime is 1211031119. The next prime is 1211031131. The reversal of 1211031120 is 211301121.

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 = 1211031096 and 1211031105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1837351 + ... + 1838009.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^1211031120 is an apocalyptic number.

1211031120 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 1211031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1211031120 is an abundant number, since it is smaller than the sum of its proper divisors (3188687280).

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

1211031120 is a wasteful number, since it uses less digits than its factorization.

1211031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

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

The square root of 1211031120 is about 34799.8724135592. The cubic root of 1211031120 is about 1065.9048405728.

Adding to 1211031120 its reverse (211301121), we get a palindrome (1422332241).

The spelling of 1211031120 in words is "one billion, two hundred eleven million, thirty-one thousand, one hundred twenty".