122420025200 has 120 divisors (see below), whose sum is σ = 321553075536. Its totient is φ = 44419072000.

The previous prime is 122420025149. The next prime is 122420025209. The reversal of 122420025200 is 2520024221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122420025209) by changing a digit.

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, 1998224 + ... + 2058576.

Almost surely, 2^122420025200 is an apocalyptic number.

122420025200 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 122420025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160776537768).

122420025200 is an abundant number, since it is smaller than the sum of its proper divisors (199133050336).

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

122420025200 is a wasteful number, since it uses less digits than its factorization.

122420025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60843 (or 60832 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 122420025200 its reverse (2520024221), we get a palindrome (124940049421).

The spelling of 122420025200 in words is "one hundred twenty-two billion, four hundred twenty million, twenty-five thousand, two hundred".