122345045100152 has 128 divisors (see below), whose sum is σ = 280103479488000. Its totient is φ = 48929326871040.

The previous prime is 122345045100143. The next prime is 122345045100197. The reversal of 122345045100152 is 251001540543221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302313502 + ... + 1302407442.

It is an arithmetic number, because the mean of its divisors is an integer number (2188308433500).

Almost surely, 2^{122345045100152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122345045100152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140051739744000).

122345045100152 is an abundant number, since it is smaller than the sum of its proper divisors (157758434387848).

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

122345045100152 is a wasteful number, since it uses less digits than its factorization.

122345045100152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112309 (or 112305 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 122345045100152 its reverse (251001540543221), we get a palindrome (373346585643373).

The spelling of 122345045100152 in words is "one hundred twenty-two trillion, three hundred forty-five billion, forty-five million, one hundred thousand, one hundred fifty-two".