21141220000 has 120 divisors (see below), whose sum is σ = 52289602596. Its totient is φ = 8411136000.

The previous prime is 21141219949. The next prime is 21141220003. The reversal of 21141220000 is 2214112.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 33779344 + 21107440656 = 5812^2 + 145284^2 .

It is not an unprimeable number, because it can be changed into a prime (21141220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3857262 + ... + 3862738.

Almost surely, 2^21141220000 is an apocalyptic number.

21141220000 is a gapful number since it is divisible by the number (20) 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 21141220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144801298).

21141220000 is an abundant number, since it is smaller than the sum of its proper divisors (31148382596).

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

21141220000 is an equidigital number, since it uses as much as digits as its factorization.

21141220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21141220000 its reverse (2214112), we get a palindrome (21143434112).

The spelling of 21141220000 in words is "twenty-one billion, one hundred forty-one million, two hundred twenty thousand".