122444434000 has 120 divisors (see below), whose sum is σ = 344408980968. Its totient is φ = 41980915200.

The previous prime is 122444433997. The next prime is 122444434037. The reversal of 122444434000 is 434444221.

It can be written as a sum of positive squares in 4 ways, for example, as 34337572416 + 88106861584 = 185304^2 + 296828^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 122444434000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526717 + ... + 722716.

Almost surely, 2^122444434000 is an apocalyptic number.

122444434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122444434000 is an abundant number, since it is smaller than the sum of its proper divisors (221964546968).

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

122444434000 is a wasteful number, since it uses less digits than its factorization.

122444434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249470 (or 1249447 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 122444434000 its reverse (434444221), we get a palindrome (122878878221).

The spelling of 122444434000 in words is "one hundred twenty-two billion, four hundred forty-four million, four hundred thirty-four thousand".