21211323120 has 320 divisors, whose sum is σ = 82104744960. Its totient is φ = 4994085888.

The previous prime is 21211323103. The next prime is 21211323131. The reversal of 21211323120 is 2132311212.

21211323120 is a `hidden beast` number, since 212 + 11 + 323 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21211323093 and 21211323102.

It is a congruent number.

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, 629419 + ... + 662261.

It is an arithmetic number, because the mean of its divisors is an integer number (256577328).

Almost surely, 2^21211323120 is an apocalyptic number.

21211323120 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 21211323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41052372480).

21211323120 is an abundant number, since it is smaller than the sum of its proper divisors (60893421840).

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

21211323120 is a wasteful number, since it uses less digits than its factorization.

21211323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32901 (or 32889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21211323120 its reverse (2132311212), we get a palindrome (23343634332).

The spelling of 21211323120 in words is "twenty-one billion, two hundred eleven million, three hundred twenty-three thousand, one hundred twenty".