1210112131200 has 384 divisors, whose sum is σ = 4702158090240. Its totient is φ = 267674112000.

The previous prime is 1210112131141. The next prime is 1210112131237. The reversal of 1210112131200 is 21312110121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1210112131200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1792755 + ... + 2373645.

It is an arithmetic number, because the mean of its divisors is an integer number (12245203360).

Almost surely, 2^{1210112131200} is an apocalyptic number.

1210112131200 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 1210112131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351079045120).

1210112131200 is an abundant number, since it is smaller than the sum of its proper divisors (3492045959040).

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

1210112131200 is a wasteful number, since it uses less digits than its factorization.

1210112131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580956 (or 580939 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1210112131200 its reverse (21312110121), we get a palindrome (1231424241321).

The spelling of 1210112131200 in words is "one trillion, two hundred ten billion, one hundred twelve million, one hundred thirty-one thousand, two hundred".