21141123120 has 200 divisors, whose sum is σ = 79074740976. Its totient is φ = 5203948032.

The previous prime is 21141123119. The next prime is 21141123121. The reversal of 21141123120 is 2132114112.

21141123120 is a `hidden beast` number, since 2 + 1 + 1 + 411 + 231 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21141123119) and next prime (21141123121).

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 = 21141123093 and 21141123102.

It is not an unprimeable number, because it can be changed into a prime (21141123121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41242 + ... + 209721.

Almost surely, 2^21141123120 is an apocalyptic number.

21141123120 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 21141123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39537370488).

21141123120 is an abundant number, since it is smaller than the sum of its proper divisors (57933617856).

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

21141123120 is a wasteful number, since it uses less digits than its factorization.

21141123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251001 (or 250986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21141123120 its reverse (2132114112), we get a palindrome (23273237232).

The spelling of 21141123120 in words is "twenty-one billion, one hundred forty-one million, one hundred twenty-three thousand, one hundred twenty".