2121111456 has 48 divisors (see below), whose sum is σ = 5570679744. Its totient is φ = 706686464.

The previous prime is 2121111427. The next prime is 2121111467. The reversal of 2121111456 is 6541111212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2121111456² = 8998227617548879872, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251500 + ... + 259796.

It is an arithmetic number, because the mean of its divisors is an integer number (116055828).

Almost surely, 2^2121111456 is an apocalyptic number.

It is an amenable number.

2121111456 is an abundant number, since it is smaller than the sum of its proper divisors (3449568288).

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

2121111456 is a wasteful number, since it uses less digits than its factorization.

2121111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973 (or 10965 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 2121111456 is about 46055.5257922434. The cubic root of 2121111456 is about 1284.8561171647.

Adding to 2121111456 its reverse (6541111212), we get a palindrome (8662222668).

The spelling of 2121111456 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, four hundred fifty-six".