120249600 has 108 divisors (see below), whose sum is σ = 396912096. Its totient is φ = 32061440.

The previous prime is 120249599. The next prime is 120249607. The reversal of 120249600 is 6942021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120249607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16069 + ... + 22331.

It is an arithmetic number, because the mean of its divisors is an integer number (3675112).

Almost surely, 2^120249600 is an apocalyptic number.

120249600 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 120249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198456048).

120249600 is an abundant number, since it is smaller than the sum of its proper divisors (276662496).

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

120249600 is an equidigital number, since it uses as much as digits as its factorization.

120249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120249600 is about 10965.8378612854. The cubic root of 120249600 is about 493.5841594402.

The spelling of 120249600 in words is "one hundred twenty million, two hundred forty-nine thousand, six hundred".