120414465600 has 672 divisors, whose sum is σ = 479182663680. Its totient is φ = 26072064000.

The previous prime is 120414465511. The next prime is 120414465601. The reversal of 120414465600 is 6564414021.

120414465600 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 (33).

It is not an unprimeable number, because it can be changed into a prime (120414465601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21275571 + ... + 21281229.

It is an arithmetic number, because the mean of its divisors is an integer number (713069440).

Almost surely, 2^120414465600 is an apocalyptic number.

120414465600 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 120414465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239591331840).

120414465600 is an abundant number, since it is smaller than the sum of its proper divisors (358768198080).

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

120414465600 is a wasteful number, since it uses less digits than its factorization.

120414465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 120414465600 its reverse (6564414021), we get a palindrome (126978879621).

The spelling of 120414465600 in words is "one hundred twenty billion, four hundred fourteen million, four hundred sixty-five thousand, six hundred".