123220125305152 has 112 divisors (see below), whose sum is σ = 252447075496000. Its totient is φ = 59629751119872.

The previous prime is 123220125305117. The next prime is 123220125305209. The reversal of 123220125305152 is 251503521022321.

It is a super-2 number, since 2×123220125305152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362591188 + ... + 362930860.

It is an arithmetic number, because the mean of its divisors is an integer number (2253991745500).

Almost surely, 2^{123220125305152} 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 123220125305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126223537748000).

123220125305152 is an abundant number, since it is smaller than the sum of its proper divisors (129226950190848).

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

123220125305152 is a wasteful number, since it uses less digits than its factorization.

123220125305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340528 (or 340518 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 123220125305152 its reverse (251503521022321), we get a palindrome (374723646327473).

The spelling of 123220125305152 in words is "one hundred twenty-three trillion, two hundred twenty billion, one hundred twenty-five million, three hundred five thousand, one hundred fifty-two".