123130033032000 has 448 divisors, whose sum is σ = 421074712880640. Its totient is φ = 31666302976000.

The previous prime is 123130033031861. The next prime is 123130033032067. The reversal of 123130033032000 is 230330031321.

It is a super-2 number, since 2×123130033032000² (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 63 ways as a sum of consecutive naturals, for example, 613075597 + ... + 613276403.

It is an arithmetic number, because the mean of its divisors is an integer number (939898912680).

Almost surely, 2^{123130033032000} is an apocalyptic number.

123130033032000 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 123130033032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210537356440320).

123130033032000 is an abundant number, since it is smaller than the sum of its proper divisors (297944679848640).

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

123130033032000 is a wasteful number, since it uses less digits than its factorization.

123130033032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201747 (or 201727 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 123130033032000 its reverse (230330031321), we get a palindrome (123360363063321).

The spelling of 123130033032000 in words is "one hundred twenty-three trillion, one hundred thirty billion, thirty-three million, thirty-two thousand".