141220032221400 has 384 divisors, whose sum is σ = 479333920665600. Its totient is φ = 34109682393600.

The previous prime is 141220032221369. The next prime is 141220032221417. The reversal of 141220032221400 is 4122230022141.

141220032221400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141220032221400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 2106376279 + ... + 2106443321.

It is an arithmetic number, because the mean of its divisors is an integer number (1248265418400).

Almost surely, 2^{141220032221400} is an apocalyptic number.

141220032221400 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 141220032221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239666960332800).

141220032221400 is an abundant number, since it is smaller than the sum of its proper divisors (338113888444200).

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

141220032221400 is a wasteful number, since it uses less digits than its factorization.

141220032221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68239 (or 68230 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 141220032221400 its reverse (4122230022141), we get a palindrome (145342262243541).

The spelling of 141220032221400 in words is "one hundred forty-one trillion, two hundred twenty billion, thirty-two million, two hundred twenty-one thousand, four hundred".