12301435200120 has 384 divisors, whose sum is σ = 41068026216000. Its totient is φ = 2945276928000.

The previous prime is 12301435199971. The next prime is 12301435200167. The reversal of 12301435200120 is 2100253410321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599796426 + ... + 599816934.

Almost surely, 2^{12301435200120} is an apocalyptic number.

12301435200120 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 12301435200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534013108000).

12301435200120 is an abundant number, since it is smaller than the sum of its proper divisors (28766591015880).

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

12301435200120 is a wasteful number, since it uses less digits than its factorization.

12301435200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21055 (or 21040 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12301435200120 its reverse (2100253410321), we get a palindrome (14401688610441).

The spelling of 12301435200120 in words is "twelve trillion, three hundred one billion, four hundred thirty-five million, two hundred thousand, one hundred twenty".