122444433001220 has 72 divisors (see below), whose sum is σ = 283338958886424. Its totient is φ = 44414212480000.

The previous prime is 122444433001169. The next prime is 122444433001223. The reversal of 122444433001220 is 22100334444221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32023466109184 + 90420966892036 = 5658928^2 + 9508994^2 .

It is not an unprimeable number, because it can be changed into a prime (122444433001223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62117951 + ... + 64058790.

It is an arithmetic number, because the mean of its divisors is an integer number (3935263317867).

Almost surely, 2^{122444433001220} is an apocalyptic number.

122444433001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122444433001220 is an abundant number, since it is smaller than the sum of its proper divisors (160894525885204).

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

122444433001220 is a wasteful number, since it uses less digits than its factorization.

122444433001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126177173 (or 126177160 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 122444433001220 its reverse (22100334444221), we get a palindrome (144544767445441).

The spelling of 122444433001220 in words is "one hundred twenty-two trillion, four hundred forty-four billion, four hundred thirty-three million, one thousand, two hundred twenty".