120946400 has 144 divisors (see below), whose sum is σ = 317948400. Its totient is φ = 44789760.

The previous prime is 120946391. The next prime is 120946403. The reversal of 120946400 is 4649021.

It is a self number, because there is not a number n which added to its sum of digits gives 120946400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120946403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1109546 + ... + 1109654.

It is an arithmetic number, because the mean of its divisors is an integer number (2207975).

Almost surely, 2^120946400 is an apocalyptic number.

120946400 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 120946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158974200).

120946400 is an abundant number, since it is smaller than the sum of its proper divisors (197002000).

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

120946400 is a wasteful number, since it uses less digits than its factorization.

120946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 120946400 is about 10997.5633664917. The cubic root of 120946400 is about 494.5357004014.

The spelling of 120946400 in words is "one hundred twenty million, nine hundred forty-six thousand, four hundred".