123141215425200 has 240 divisors, whose sum is σ = 450872781461760. Its totient is φ = 28142901365760.

The previous prime is 123141215425147. The next prime is 123141215425237. The reversal of 123141215425200 is 2524512141321.

It is a tau number, because it is divible by the number of its divisors (240).

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, 63872971 + ... + 65772629.

It is an arithmetic number, because the mean of its divisors is an integer number (1878636589424).

Almost surely, 2^{123141215425200} is an apocalyptic number.

123141215425200 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 123141215425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225436390730880).

123141215425200 is an abundant number, since it is smaller than the sum of its proper divisors (327731566036560).

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

123141215425200 is a wasteful number, since it uses less digits than its factorization.

123141215425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907404 (or 1907393 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 123141215425200 its reverse (2524512141321), we get a palindrome (125665727566521).

The spelling of 123141215425200 in words is "one hundred twenty-three trillion, one hundred forty-one billion, two hundred fifteen million, four hundred twenty-five thousand, two hundred".