123021132130000 has 400 divisors, whose sum is σ = 324675991187856. Its totient is φ = 44871690240000.

The previous prime is 123021132129979. The next prime is 123021132130003. The reversal of 123021132130000 is 31231120321.

It can be written as a sum of positive squares in 40 ways, for example, as 90070501340304 + 32950630789696 = 9490548^2 + 5740264^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 123021132130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123021132130003) 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, 3530912580 + ... + 3530947420.

Almost surely, 2^{123021132130000} is an apocalyptic number.

123021132130000 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 123021132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162337995593928).

123021132130000 is an abundant number, since it is smaller than the sum of its proper divisors (201654859057856).

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

123021132130000 is a wasteful number, since it uses less digits than its factorization.

123021132130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35212 (or 35191 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 123021132130000 its reverse (31231120321), we get a palindrome (123052363250321).

The spelling of 123021132130000 in words is "one hundred twenty-three trillion, twenty-one billion, one hundred thirty-two million, one hundred thirty thousand".