122025141600 has 144 divisors (see below), whose sum is σ = 407927047248. Its totient is φ = 31660554240.

The previous prime is 122025141599. The next prime is 122025141631. The reversal of 122025141600 is 6141520221.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598279 + ... + 775878.

It is an arithmetic number, because the mean of its divisors is an integer number (2832826717).

Almost surely, 2^122025141600 is an apocalyptic number.

122025141600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122025141600 is an abundant number, since it is smaller than the sum of its proper divisors (285901905648).

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

122025141600 is a wasteful number, since it uses less digits than its factorization.

122025141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374217 (or 1374204 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 122025141600 its reverse (6141520221), we get a palindrome (128166661821).

The spelling of 122025141600 in words is "one hundred twenty-two billion, twenty-five million, one hundred forty-one thousand, six hundred".