141121330400 has 72 divisors (see below), whose sum is σ = 344915189640. Its totient is φ = 56382543360.

The previous prime is 141121330373. The next prime is 141121330421. The reversal of 141121330400 is 4033121141.

141121330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 584522 + ... + 789878.

It is an arithmetic number, because the mean of its divisors is an integer number (4790488745).

Almost surely, 2^141121330400 is an apocalyptic number.

141121330400 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 141121330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172457594820).

141121330400 is an abundant number, since it is smaller than the sum of its proper divisors (203793859240).

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

141121330400 is a wasteful number, since it uses less digits than its factorization.

141121330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206236 (or 206223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141121330400 its reverse (4033121141), we get a palindrome (145154451541).

The spelling of 141121330400 in words is "one hundred forty-one billion, one hundred twenty-one million, three hundred thirty thousand, four hundred".