123333420012032 has 80 divisors (see below), whose sum is σ = 246854724697152. Its totient is φ = 61559452323840.

The previous prime is 123333420012029. The next prime is 123333420012067. The reversal of 123333420012032 is 230210024333321.

It is a happy number.

It is a super-2 number, since 2×123333420012032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123333420011986 and 123333420012004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720791557 + ... + 1720863227.

Almost surely, 2^{123333420012032} 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 123333420012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123427362348576).

123333420012032 is an abundant number, since it is smaller than the sum of its proper divisors (123521304685120).

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

123333420012032 is an frugal number, since it uses more digits than its factorization.

123333420012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77489 (or 77473 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 123333420012032 its reverse (230210024333321), we get a palindrome (353543444345353).

The spelling of 123333420012032 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, four hundred twenty million, twelve thousand, thirty-two".