122442144400254 has 128 divisors (see below), whose sum is σ = 284974712635392. Its totient is φ = 34349379079680.

The previous prime is 122442144400223. The next prime is 122442144400313. The reversal of 122442144400254 is 452004441244221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891307777 + ... + 891445139.

It is an arithmetic number, because the mean of its divisors is an integer number (2226364942464).

Almost surely, 2^{122442144400254} is an apocalyptic number.

122442144400254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122442144400254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142487356317696).

122442144400254 is an abundant number, since it is smaller than the sum of its proper divisors (162532568235138).

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

122442144400254 is a wasteful number, since it uses less digits than its factorization.

122442144400254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138670.

The product of its (nonzero) digits is 327680, while the sum is 39.

Adding to 122442144400254 its reverse (452004441244221), we get a palindrome (574446585644475).

The spelling of 122442144400254 in words is "one hundred twenty-two trillion, four hundred forty-two billion, one hundred forty-four million, four hundred thousand, two hundred fifty-four".