20132124322400 has 72 divisors (see below), whose sum is σ = 52038580802040. Its totient is φ = 7579152680960.

The previous prime is 20132124322391. The next prime is 20132124322463. The reversal of 20132124322400 is 422342123102.

It is a self number, because there is not a number n which added to its sum of digits gives 20132124322400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740138030 + ... + 740165229.

It is an arithmetic number, because the mean of its divisors is an integer number (722758066695).

Almost surely, 2^{20132124322400} is an apocalyptic number.

20132124322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132124322400 is an abundant number, since it is smaller than the sum of its proper divisors (31906456479640).

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

20132124322400 is a wasteful number, since it uses less digits than its factorization.

20132124322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480303296 (or 1480303283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 20132124322400 its reverse (422342123102), we get a palindrome (20554466445502).

The spelling of 20132124322400 in words is "twenty trillion, one hundred thirty-two billion, one hundred twenty-four million, three hundred twenty-two thousand, four hundred".