1213444314252 has 144 divisors (see below), whose sum is σ = 3190754810880. Its totient is φ = 388363248000.

The previous prime is 1213444314239. The next prime is 1213444314259. The reversal of 1213444314252 is 2524134443121.

1213444314252 is a `hidden beast` number, since 1 + 2 + 134 + 4 + 431 + 42 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1213444314259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272620627 + ... + 272625077.

It is an arithmetic number, because the mean of its divisors is an integer number (22158019520).

Almost surely, 2^{1213444314252} is an apocalyptic number.

1213444314252 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 1213444314252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595377405440).

1213444314252 is an abundant number, since it is smaller than the sum of its proper divisors (1977310496628).

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

1213444314252 is a wasteful number, since it uses less digits than its factorization.

1213444314252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5879 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 1213444314252 its reverse (2524134443121), we get a palindrome (3737578757373).

It can be divided in two parts, 1213444 and 314252, that added together give a square (1527696 = 1236²).

The spelling of 1213444314252 in words is "one trillion, two hundred thirteen billion, four hundred forty-four million, three hundred fourteen thousand, two hundred fifty-two".