120203134421400 has 288 divisors, whose sum is σ = 404914130712000. Its totient is φ = 31956382310400.

The previous prime is 120203134421317. The next prime is 120203134421423. The reversal of 120203134421400 is 4124431302021.

120203134421400 is a `hidden beast` number, since 1 + 2 + 0 + 203 + 1 + 3 + 442 + 14 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4150502920 + ... + 4150531880.

It is an arithmetic number, because the mean of its divisors is an integer number (1405951842750).

Almost surely, 2^{120203134421400} is an apocalyptic number.

120203134421400 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 120203134421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202457065356000).

120203134421400 is an abundant number, since it is smaller than the sum of its proper divisors (284710996290600).

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

120203134421400 is a wasteful number, since it uses less digits than its factorization.

120203134421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35939 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120203134421400 its reverse (4124431302021), we get a palindrome (124327565723421).

The spelling of 120203134421400 in words is "one hundred twenty trillion, two hundred three billion, one hundred thirty-four million, four hundred twenty-one thousand, four hundred".