120123203200 has 384 divisors, whose sum is σ = 398433248640. Its totient is φ = 34560000000.

The previous prime is 120123203191. The next prime is 120123203269. The reversal of 120123203200 is 2302321021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3184450 + ... + 3221950.

It is an arithmetic number, because the mean of its divisors is an integer number (1037586585).

Almost surely, 2^120123203200 is an apocalyptic number.

120123203200 is a gapful number since it is divisible by the number (10) 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 120123203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199216624320).

120123203200 is an abundant number, since it is smaller than the sum of its proper divisors (278310045440).

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

120123203200 is a wasteful number, since it uses less digits than its factorization.

120123203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37556 (or 37539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120123203200 its reverse (2302321021), we get a palindrome (122425524221).

It can be divided in two parts, 120123 and 203200, that added together give a palindrome (323323).

The spelling of 120123203200 in words is "one hundred twenty billion, one hundred twenty-three million, two hundred three thousand, two hundred".