123301325421200 has 240 divisors, whose sum is σ = 302441005215360. Its totient is φ = 48299494256640.

The previous prime is 123301325421137. The next prime is 123301325421217. The reversal of 123301325421200 is 2124523103321.

It is a super-2 number, since 2×123301325421200² (a number of 29 digits) contains 22 as substring.

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, 1619726339 + ... + 1619802461.

It is an arithmetic number, because the mean of its divisors is an integer number (1260170855064).

Almost surely, 2^{123301325421200} is an apocalyptic number.

123301325421200 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 123301325421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151220502607680).

123301325421200 is an abundant number, since it is smaller than the sum of its proper divisors (179139679794160).

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

123301325421200 is a wasteful number, since it uses less digits than its factorization.

123301325421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76666 (or 76655 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 123301325421200 its reverse (2124523103321), we get a palindrome (125425848524521).

The spelling of 123301325421200 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred twenty-five million, four hundred twenty-one thousand, two hundred".