21211131120 has 160 divisors (see below), whose sum is σ = 66865512000. Its totient is φ = 5561229312.

The previous prime is 21211131119. The next prime is 21211131131. The reversal of 21211131120 is 2113111212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21211131120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6112746 + ... + 6116214.

It is an arithmetic number, because the mean of its divisors is an integer number (417909450).

Almost surely, 2^21211131120 is an apocalyptic number.

21211131120 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 21211131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432756000).

21211131120 is an abundant number, since it is smaller than the sum of its proper divisors (45654380880).

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

21211131120 is a wasteful number, since it uses less digits than its factorization.

21211131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21211131120 its reverse (2113111212), we get a palindrome (23324242332).

The spelling of 21211131120 in words is "twenty-one billion, two hundred eleven million, one hundred thirty-one thousand, one hundred twenty".