122026225200 has 360 divisors, whose sum is σ = 430654144704. Its totient is φ = 29513510400.

The previous prime is 122026225159. The next prime is 122026225207. The reversal of 122026225200 is 2522620221.

It is a happy number.

It is a super-2 number, since 2×122026225200² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122026225207) 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 71 ways as a sum of consecutive naturals, for example, 93362947 + ... + 93364253.

Almost surely, 2^122026225200 is an apocalyptic number.

122026225200 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 122026225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215327072352).

122026225200 is an abundant number, since it is smaller than the sum of its proper divisors (308627919504).

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

122026225200 is a wasteful number, since it uses less digits than its factorization.

122026225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 122026225200 its reverse (2522620221), we get a palindrome (124548845421).

The spelling of 122026225200 in words is "one hundred twenty-two billion, twenty-six million, two hundred twenty-five thousand, two hundred".