122345023502300 has 144 divisors (see below), whose sum is σ = 270555561669120. Its totient is φ = 48010159296000.

The previous prime is 122345023502287. The next prime is 122345023502309. The reversal of 122345023502300 is 3205320543221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122345023502309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4955032955 + ... + 4955057645.

Almost surely, 2^{122345023502300} is an apocalyptic number.

122345023502300 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 122345023502300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135277780834560).

122345023502300 is an abundant number, since it is smaller than the sum of its proper divisors (148210538166820).

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

122345023502300 is a wasteful number, since it uses less digits than its factorization.

122345023502300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27772 (or 27765 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 122345023502300 in words is "one hundred twenty-two trillion, three hundred forty-five billion, twenty-three million, five hundred two thousand, three hundred".