1211132110320 has 480 divisors, whose sum is σ = 4873768773120. Its totient is φ = 266060298240.

The previous prime is 1211132110277. The next prime is 1211132110337. The reversal of 1211132110320 is 230112311121.

1211132110320 is a `hidden beast` number, since 1 + 2 + 1 + 11 + 321 + 10 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1211132110293 and 1211132110302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3286074 + ... + 3636006.

It is an arithmetic number, because the mean of its divisors is an integer number (10153684944).

Almost surely, 2^{1211132110320} is an apocalyptic number.

1211132110320 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 1211132110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436884386560).

1211132110320 is an abundant number, since it is smaller than the sum of its proper divisors (3662636662800).

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

1211132110320 is a wasteful number, since it uses less digits than its factorization.

1211132110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350005 (or 349996 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1211132110320 its reverse (230112311121), we get a palindrome (1441244421441).

The spelling of 1211132110320 in words is "one trillion, two hundred eleven billion, one hundred thirty-two million, one hundred ten thousand, three hundred twenty".