1212112311200 has 288 divisors, whose sum is σ = 3642581859840. Its totient is φ = 384551193600.

The previous prime is 1212112311191. The next prime is 1212112311211. The reversal of 1212112311200 is 21132112121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442735 + ... + 4707665.

It is an arithmetic number, because the mean of its divisors is an integer number (12647853680).

Almost surely, 2^{1212112311200} is an apocalyptic number.

1212112311200 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 1212112311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821290929920).

1212112311200 is an abundant number, since it is smaller than the sum of its proper divisors (2430469548640).

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

1212112311200 is a wasteful number, since it uses less digits than its factorization.

1212112311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265020 (or 265007 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1212112311200 its reverse (21132112121), we get a palindrome (1233244423321).

The spelling of 1212112311200 in words is "one trillion, two hundred twelve billion, one hundred twelve million, three hundred eleven thousand, two hundred".