2111128404800 has 84 divisors (see below), whose sum is σ = 5373822874380. Its totient is φ = 815332331520.

The previous prime is 2111128404793. The next prime is 2111128404817. The reversal of 2111128404800 is 84048211112.

It can be written as a sum of positive squares in 6 ways, for example, as 3544535296 + 2107583869504 = 59536^2 + 1451752^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22702829 + ... + 22795628.

Almost surely, 2^{2111128404800} is an apocalyptic number.

2111128404800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111128404800 is an abundant number, since it is smaller than the sum of its proper divisors (3262694469580).

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

2111128404800 is a wasteful number, since it uses less digits than its factorization.

2111128404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45498508 (or 45498493 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 2111128404800 in words is "two trillion, one hundred eleven billion, one hundred twenty-eight million, four hundred four thousand, eight hundred".