120361465114800 has 960 divisors, whose sum is σ = 476983851746304. Its totient is φ = 25264112025600.

The previous prime is 120361465114747. The next prime is 120361465114801. The reversal of 120361465114800 is 8411564163021.

120361465114800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (120361465114801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18727469187 + ... + 18727475613.

Almost surely, 2^{120361465114800} is an apocalyptic number.

120361465114800 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 120361465114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238491925873152).

120361465114800 is an abundant number, since it is smaller than the sum of its proper divisors (356622386631504).

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

120361465114800 is a wasteful number, since it uses less digits than its factorization.

120361465114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7326 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 120361465114800 in words is "one hundred twenty trillion, three hundred sixty-one billion, four hundred sixty-five million, one hundred fourteen thousand, eight hundred".