20125123200000 has 2376 divisors, whose sum is σ = 91074892099464. Its totient is φ = 4242309120000.

The previous prime is 20125123199977. The next prime is 20125123200001. The reversal of 20125123200000 is 232152102.

It can be written as a sum of positive squares in 12 ways, for example, as 18705555800064 + 1419567399936 = 4324992^2 + 1191456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125123200001) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 18345599452 + ... + 18345600548.

Almost surely, 2^{20125123200000} is an apocalyptic number.

20125123200000 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 20125123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45537446049732).

20125123200000 is an abundant number, since it is smaller than the sum of its proper divisors (70949768899464).

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

20125123200000 is a wasteful number, since it uses less digits than its factorization.

20125123200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20125123200000 its reverse (232152102), we get a palindrome (20125355352102).

The spelling of 20125123200000 in words is "twenty trillion, one hundred twenty-five billion, one hundred twenty-three million, two hundred thousand".