141122400 has 144 divisors (see below), whose sum is σ = 463970304. Its totient is φ = 37255680.

The previous prime is 141122363. The next prime is 141122413. The reversal of 141122400 is 4221141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304569 + ... + 305031.

It is an arithmetic number, because the mean of its divisors is an integer number (3222016).

Almost surely, 2^141122400 is an apocalyptic number.

141122400 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 141122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231985152).

141122400 is an abundant number, since it is smaller than the sum of its proper divisors (322847904).

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

141122400 is a wasteful number, since it uses less digits than its factorization.

141122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 141122400 is about 11879.4949387590. The cubic root of 141122400 is about 520.6333505653.

Adding to 141122400 its reverse (4221141), we get a palindrome (145343541).

The spelling of 141122400 in words is "one hundred forty-one million, one hundred twenty-two thousand, four hundred".