1216333106442 has 96 divisors (see below), whose sum is σ = 2783283984000. Its totient is φ = 382834252800.

The previous prime is 1216333106363. The next prime is 1216333106449. The reversal of 1216333106442 is 2446013336121.

1216333106442 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 3 + 3 + 3 + 1 + 0 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1216333106397 and 1216333106406.

It is not an unprimeable number, because it can be changed into a prime (1216333106449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213801534 + ... + 213807222.

It is an arithmetic number, because the mean of its divisors is an integer number (28992541500).

Almost surely, 2^{1216333106442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216333106442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391641992000).

1216333106442 is an abundant number, since it is smaller than the sum of its proper divisors (1566950877558).

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

1216333106442 is a wasteful number, since it uses less digits than its factorization.

1216333106442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1216333106442 in words is "one trillion, two hundred sixteen billion, three hundred thirty-three million, one hundred six thousand, four hundred forty-two".