21141064120 has 64 divisors (see below), whose sum is σ = 51955344000. Its totient is φ = 7678231680.

The previous prime is 21141064103. The next prime is 21141064121. The reversal of 21141064120 is 2146014112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21141064091 and 21141064100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141064121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334831 + ... + 392929.

It is an arithmetic number, because the mean of its divisors is an integer number (811802250).

Almost surely, 2^21141064120 is an apocalyptic number.

21141064120 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 21141064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25977672000).

21141064120 is an abundant number, since it is smaller than the sum of its proper divisors (30814279880).

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

21141064120 is a wasteful number, since it uses less digits than its factorization.

21141064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58948 (or 58944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 21141064120 its reverse (2146014112), we get a palindrome (23287078232).

The spelling of 21141064120 in words is "twenty-one billion, one hundred forty-one million, sixty-four thousand, one hundred twenty".