20123132400 has 960 divisors, whose sum is σ = 87148707840. Its totient is φ = 4311014400.

The previous prime is 20123132369. The next prime is 20123132413. The reversal of 20123132400 is 423132102.

20123132400 is a `hidden beast` number, since 2 + 0 + 1 + 231 + 32 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 123454719 + ... + 123454881.

It is an arithmetic number, because the mean of its divisors is an integer number (90779904).

Almost surely, 2^20123132400 is an apocalyptic number.

20123132400 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 20123132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574353920).

20123132400 is an abundant number, since it is smaller than the sum of its proper divisors (67025575440).

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

20123132400 is a wasteful number, since it uses less digits than its factorization.

20123132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20123132400 its reverse (423132102), we get a palindrome (20546264502).

The spelling of 20123132400 in words is "twenty billion, one hundred twenty-three million, one hundred thirty-two thousand, four hundred".