122249209000 has 128 divisors (see below), whose sum is σ = 304854451200. Its totient is φ = 45778022400.

The previous prime is 122249208971. The next prime is 122249209007. The reversal of 122249209000 is 902942221.

It is a super-2 number, since 2×122249209000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122249209007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024456 + ... + 1137544.

It is an arithmetic number, because the mean of its divisors is an integer number (2381675400).

Almost surely, 2^122249209000 is an apocalyptic number.

122249209000 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 122249209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152427225600).

122249209000 is an abundant number, since it is smaller than the sum of its proper divisors (182605242200).

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

122249209000 is a wasteful number, since it uses less digits than its factorization.

122249209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113180 (or 113166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 122249209000 in words is "one hundred twenty-two billion, two hundred forty-nine million, two hundred nine thousand".