20120014400 has 168 divisors, whose sum is σ = 51495960000. Its totient is φ = 7727892480.

The previous prime is 20120014393. The next prime is 20120014457. The reversal of 20120014400 is 441002102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9232511 + ... + 9234689.

Almost surely, 2^20120014400 is an apocalyptic number.

20120014400 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 20120014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25747980000).

20120014400 is an abundant number, since it is smaller than the sum of its proper divisors (31375945600).

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

20120014400 is a wasteful number, since it uses less digits than its factorization.

20120014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20120014400 its reverse (441002102), we get a palindrome (20561016502).

The spelling of 20120014400 in words is "twenty billion, one hundred twenty million, fourteen thousand, four hundred".