1212132321312 has 192 divisors, whose sum is σ = 3510760071168. Its totient is φ = 363127680000.

The previous prime is 1212132321311. The next prime is 1212132321317. The reversal of 1212132321312 is 2131232312121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1212132321311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73691073 + ... + 73707519.

It is an arithmetic number, because the mean of its divisors is an integer number (18285208704).

Almost surely, 2^{1212132321312} is an apocalyptic number.

1212132321312 is a gapful number since it is divisible by the number (12) 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 1212132321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755380035584).

1212132321312 is an abundant number, since it is smaller than the sum of its proper divisors (2298627749856).

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

1212132321312 is a wasteful number, since it uses less digits than its factorization.

1212132321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263 (or 17255 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1212132321312 its reverse (2131232312121), we get a palindrome (3343364633433).

The spelling of 1212132321312 in words is "one trillion, two hundred twelve billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred twelve".