11212414000 has 160 divisors (see below), whose sum is σ = 27986280192. Its totient is φ = 4342400000.

The previous prime is 11212413997. The next prime is 11212414013. The reversal of 11212414000 is 41421211.

It is a happy number.

11212414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 9493410 + ... + 9494590.

Almost surely, 2^11212414000 is an apocalyptic number.

11212414000 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 11212414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993140096).

11212414000 is an abundant number, since it is smaller than the sum of its proper divisors (16773866192).

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

11212414000 is a wasteful number, since it uses less digits than its factorization.

11212414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11212414000 its reverse (41421211), we get a palindrome (11253835211).

The spelling of 11212414000 in words is "eleven billion, two hundred twelve million, four hundred fourteen thousand".