2211452410912 has 96 divisors (see below), whose sum is σ = 4634857556784. Its totient is φ = 1035060019200.

The previous prime is 2211452410903. The next prime is 2211452410913. The reversal of 2211452410912 is 2190142541122.

It can be written as a sum of positive squares in 8 ways, for example, as 1181560304016 + 1029892106896 = 1086996^2 + 1014836^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2211452410913) 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 15 ways as a sum of consecutive naturals, for example, 119264362 + ... + 119282902.

Almost surely, 2^{2211452410912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211452410912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317428778392).

2211452410912 is an abundant number, since it is smaller than the sum of its proper divisors (2423405145872).

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

2211452410912 is a wasteful number, since it uses less digits than its factorization.

2211452410912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19742 (or 19734 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 2211452410912 in words is "two trillion, two hundred eleven billion, four hundred fifty-two million, four hundred ten thousand, nine hundred twelve".