11210212112000 has 512 divisors, whose sum is σ = 30718459699200. Its totient is φ = 4034634240000.

The previous prime is 11210212111979. The next prime is 11210212112017. The reversal of 11210212112000 is 21121201211.

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 63 ways as a sum of consecutive naturals, for example, 12305391545 + ... + 12305392455.

It is an arithmetic number, because the mean of its divisors is an integer number (59996991600).

Almost surely, 2^{11210212112000} is an apocalyptic number.

11210212112000 is a gapful number since it is divisible by the number (10) 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 11210212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359229849600).

11210212112000 is an abundant number, since it is smaller than the sum of its proper divisors (19508247587200).

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

11210212112000 is a wasteful number, since it uses less digits than its factorization.

11210212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11210212112000 its reverse (21121201211), we get a palindrome (11231333313211).

The spelling of 11210212112000 in words is "eleven trillion, two hundred ten billion, two hundred twelve million, one hundred twelve thousand".