20200123200000 has 960 divisors, whose sum is σ = 69020461407744. Its totient is φ = 5247590400000.

The previous prime is 20200123199957. The next prime is 20200123200041. The reversal of 20200123200000 is 232100202.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68942399854 + ... + 68942400146.

Almost surely, 2^{20200123200000} is an apocalyptic number.

20200123200000 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 20200123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34510230703872).

20200123200000 is an abundant number, since it is smaller than the sum of its proper divisors (48820338207744).

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

20200123200000 is an frugal number, since it uses more digits than its factorization.

20200123200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20200123200000 its reverse (232100202), we get a palindrome (20200355300202).

The spelling of 20200123200000 in words is "twenty trillion, two hundred billion, one hundred twenty-three million, two hundred thousand".