20411124000 has 192 divisors, whose sum is σ = 68675548032. Its totient is φ = 5295744000.

The previous prime is 20411123989. The next prime is 20411124007. The reversal of 20411124000 is 42111402.

It is a super-2 number, since 2×20411124000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20411124007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421015 + ... + 466985.

It is an arithmetic number, because the mean of its divisors is an integer number (357685146).

Almost surely, 2^20411124000 is an apocalyptic number.

20411124000 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 20411124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34337774016).

20411124000 is an abundant number, since it is smaller than the sum of its proper divisors (48264424032).

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

20411124000 is a wasteful number, since it uses less digits than its factorization.

20411124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46036 (or 46018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20411124000 its reverse (42111402), we get a palindrome (20453235402).

The spelling of 20411124000 in words is "twenty billion, four hundred eleven million, one hundred twenty-four thousand".