1211112120 has 128 divisors (see below), whose sum is σ = 3823122240. Its totient is φ = 306524160.

The previous prime is 1211112103. The next prime is 1211112139. The reversal of 1211112120 is 212111121.

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 = 1211112096 and 1211112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178714 + ... + 185366.

Almost surely, 2^1211112120 is an apocalyptic number.

1211112120 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 1211112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911561120).

1211112120 is an abundant number, since it is smaller than the sum of its proper divisors (2612010120).

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

1211112120 is a wasteful number, since it uses less digits than its factorization.

1211112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6741 counting only the distinct ones).

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

The square root of 1211112120 is about 34801.0361914699. The cubic root of 1211112120 is about 1065.9286044453.

Adding to 1211112120 its reverse (212111121), we get a palindrome (1423223241).

Subtracting from 1211112120 its reverse (212111121), we obtain a palindrome (999000999).

The spelling of 1211112120 in words is "one billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".