20120442400 has 72 divisors (see below), whose sum is σ = 49139761104. Its totient is φ = 8044780800.

The previous prime is 20120442379. The next prime is 20120442409. The reversal of 20120442400 is 424402102.

It is not an unprimeable number, because it can be changed into a prime (20120442409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2853279 + ... + 2860321.

It is an arithmetic number, because the mean of its divisors is an integer number (682496682).

Almost surely, 2^20120442400 is an apocalyptic number.

20120442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120442400 is an abundant number, since it is smaller than the sum of its proper divisors (29019318704).

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

20120442400 is a wasteful number, since it uses less digits than its factorization.

20120442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20120442400 its reverse (424402102), we get a palindrome (20544844502).

The spelling of 20120442400 in words is "twenty billion, one hundred twenty million, four hundred forty-two thousand, four hundred".