11210001122000 has 80 divisors (see below), whose sum is σ = 27107653911312. Its totient is φ = 4483690905600.

The previous prime is 11210001121981. The next prime is 11210001122009. The reversal of 11210001122000 is 22110001211.

It can be written as a sum of positive squares in 8 ways, for example, as 1990616235664 + 9219384886336 = 1410892^2 + 3036344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210001122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29960072 + ... + 30331928.

Almost surely, 2^{11210001122000} is an apocalyptic number.

11210001122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210001122000 is an abundant number, since it is smaller than the sum of its proper divisors (15897652789312).

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

11210001122000 is a wasteful number, since it uses less digits than its factorization.

11210001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386953 (or 386937 counting only the distinct ones).

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

Adding to 11210001122000 its reverse (22110001211), we get a palindrome (11232111123211).

The spelling of 11210001122000 in words is "eleven trillion, two hundred ten billion, one million, one hundred twenty-two thousand".