20432400120 has 512 divisors, whose sum is σ = 78921216000. Its totient is φ = 4650048000.

The previous prime is 20432400017. The next prime is 20432400127. The reversal of 20432400120 is 2100423402.

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 = 20432400093 and 20432400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432400127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29568975 + ... + 29569665.

It is an arithmetic number, because the mean of its divisors is an integer number (154143000).

Almost surely, 2^20432400120 is an apocalyptic number.

20432400120 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 20432400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39460608000).

20432400120 is an abundant number, since it is smaller than the sum of its proper divisors (58488815880).

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

20432400120 is a wasteful number, since it uses less digits than its factorization.

20432400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20432400120 its reverse (2100423402), we get a palindrome (22532823522).

The spelling of 20432400120 in words is "twenty billion, four hundred thirty-two million, four hundred thousand, one hundred twenty".