123414434212032 has 560 divisors, whose sum is σ = 370271430144000. Its totient is φ = 40643685881856.

The previous prime is 123414434212031. The next prime is 123414434212051. The reversal of 123414434212032 is 230212434414321.

123414434212032 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 4 + 434 + 212 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×123414434212032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123414434212031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148871452194 + ... + 148871453022.

It is an arithmetic number, because the mean of its divisors is an integer number (661198982400).

Almost surely, 2^{123414434212032} is an apocalyptic number.

123414434212032 is a gapful number since it is divisible by the number (12) 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 123414434212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185135715072000).

123414434212032 is an abundant number, since it is smaller than the sum of its proper divisors (246856995931968).

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

123414434212032 is a wasteful number, since it uses less digits than its factorization.

123414434212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 123414434212032 its reverse (230212434414321), we get a palindrome (353626868626353).

The spelling of 123414434212032 in words is "one hundred twenty-three trillion, four hundred fourteen billion, four hundred thirty-four million, two hundred twelve thousand, thirty-two".