1211433412224 has 128 divisors (see below), whose sum is σ = 3678654153600. Its totient is φ = 346021392384.

The previous prime is 1211433412207. The next prime is 1211433412243. The reversal of 1211433412224 is 4222143341121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1211433412224³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211433412191 and 1211433412200.

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 15 ways as a sum of consecutive naturals, for example, 9259714 + ... + 9389630.

It is an arithmetic number, because the mean of its divisors is an integer number (28739485575).

Almost surely, 2^{1211433412224} is an apocalyptic number.

1211433412224 is a gapful number since it is divisible by the number (14) 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 1211433412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839327076800).

1211433412224 is an abundant number, since it is smaller than the sum of its proper divisors (2467220741376).

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

1211433412224 is a wasteful number, since it uses less digits than its factorization.

1211433412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133410 (or 133398 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 1211433412224 its reverse (4222143341121), we get a palindrome (5433576753345).

The spelling of 1211433412224 in words is "one trillion, two hundred eleven billion, four hundred thirty-three million, four hundred twelve thousand, two hundred twenty-four".