11212410000 has 400 divisors, whose sum is σ = 40204980288. Its totient is φ = 2668800000.

The previous prime is 11212409987. The next prime is 11212410007. The reversal of 11212410000 is 1421211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11212410007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20129722 + ... + 20130278.

Almost surely, 2^11212410000 is an apocalyptic number.

11212410000 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 11212410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102490144).

11212410000 is an abundant number, since it is smaller than the sum of its proper divisors (28992570288).

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

11212410000 is a wasteful number, since it uses less digits than its factorization.

11212410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11212410000 its reverse (1421211), we get a palindrome (11213831211).

The spelling of 11212410000 in words is "eleven billion, two hundred twelve million, four hundred ten thousand".