123313212232000 has 336 divisors, whose sum is σ = 355285814474448. Its totient is φ = 42273836236800.

The previous prime is 123313212231991. The next prime is 123313212232039. The reversal of 123313212232000 is 232212313321.

It can be written as a sum of positive squares in 8 ways, for example, as 56692225771776 + 66620986460224 = 7529424^2 + 8162168^2 .

It is a super-2 number, since 2×123313212232000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5165372064 + ... + 5165395936.

Almost surely, 2^{123313212232000} is an apocalyptic number.

123313212232000 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 123313212232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177642907237224).

123313212232000 is an abundant number, since it is smaller than the sum of its proper divisors (231972602242448).

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

123313212232000 is a wasteful number, since it uses less digits than its factorization.

123313212232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37091 (or 37064 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 123313212232000 its reverse (232212313321), we get a palindrome (123545424545321).

The spelling of 123313212232000 in words is "one hundred twenty-three trillion, three hundred thirteen billion, two hundred twelve million, two hundred thirty-two thousand".