11214512000 has 64 divisors (see below), whose sum is σ = 27882120240. Its totient is φ = 4485798400.

The previous prime is 11214511993. The next prime is 11214512027. The reversal of 11214512000 is 21541211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11214512000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 334454 + ... + 366453.

Almost surely, 2^11214512000 is an apocalyptic number.

11214512000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11214512000 is an abundant number, since it is smaller than the sum of its proper divisors (16667608240).

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

11214512000 is an frugal number, since it uses more digits than its factorization.

11214512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700936 (or 700914 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The spelling of 11214512000 in words is "eleven billion, two hundred fourteen million, five hundred twelve thousand".