1100212112000 has 64 divisors (see below), whose sum is σ = 2735402403240. Its totient is φ = 440084838400.

The previous prime is 1100212111961. The next prime is 1100212112059. The reversal of 1100212112000 is 2112120011.

It can be written as a sum of positive squares in 4 ways, for example, as 466073828416 + 634138283584 = 682696^2 + 796328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 34365629 + ... + 34397628.

Almost surely, 2^{1100212112000} is an apocalyptic number.

1100212112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100212112000 is an abundant number, since it is smaller than the sum of its proper divisors (1635190291240).

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

1100212112000 is an frugal number, since it uses more digits than its factorization.

1100212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68763286 (or 68763264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100212112000 its reverse (2112120011), we get a palindrome (1102324232011).

The spelling of 1100212112000 in words is "one trillion, one hundred billion, two hundred twelve million, one hundred twelve thousand".