2111814789120 has 1296 divisors, whose sum is σ = 8238867289380. Its totient is φ = 517697961984.

The previous prime is 2111814789079. The next prime is 2111814789151. The reversal of 2111814789120 is 219874181112.

2111814789120 is a `hidden beast` number, since 2 + 1 + 11 + 81 + 478 + 91 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2099392349184 + 12422439936 = 1448928^2 + 111456^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 49111971819 + ... + 49111971861.

Almost surely, 2^{2111814789120} is an apocalyptic number.

2111814789120 is a gapful number since it is divisible by the number (20) 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 2111814789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119433644690).

2111814789120 is an abundant number, since it is smaller than the sum of its proper divisors (6127052500260).

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

2111814789120 is an frugal number, since it uses more digits than its factorization.

2111814789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 2111814789120 in words is "two trillion, one hundred eleven billion, eight hundred fourteen million, seven hundred eighty-nine thousand, one hundred twenty".