1211112320 has 128 divisors (see below), whose sum is σ = 3204334080. Its totient is φ = 434022400.

The previous prime is 1211112271. The next prime is 1211112323. The reversal of 1211112320 is 232111121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1211112295 and 1211112304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211112323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498629 + ... + 501051.

It is an arithmetic number, because the mean of its divisors is an integer number (25033860).

Almost surely, 2^1211112320 is an apocalyptic number.

1211112320 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 1211112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602167040).

1211112320 is an abundant number, since it is smaller than the sum of its proper divisors (1993221760).

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

1211112320 is a wasteful number, since it uses less digits than its factorization.

1211112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1211112320 is about 34801.0390649475. The cubic root of 1211112320 is about 1065.9286631202.

Adding to 1211112320 its reverse (232111121), we get a palindrome (1443223441).

The spelling of 1211112320 in words is "one billion, two hundred eleven million, one hundred twelve thousand, three hundred twenty".