11421012000 has 384 divisors, whose sum is σ = 39796323840. Its totient is φ = 2857881600.

The previous prime is 11421011999. The next prime is 11421012017. The reversal of 11421012000 is 21012411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12875557 + ... + 12876443.

It is an arithmetic number, because the mean of its divisors is an integer number (103636260).

Almost surely, 2^11421012000 is an apocalyptic number.

11421012000 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 11421012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19898161920).

11421012000 is an abundant number, since it is smaller than the sum of its proper divisors (28375311840).

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

11421012000 is a wasteful number, since it uses less digits than its factorization.

11421012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

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

Adding to 11421012000 its reverse (21012411), we get a palindrome (11442024411).

The spelling of 11421012000 in words is "eleven billion, four hundred twenty-one million, twelve thousand".