120249000 has 192 divisors, whose sum is σ = 420526080. Its totient is φ = 30960000.

The previous prime is 120248977. The next prime is 120249011. The reversal of 120249000 is 942021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278785 + ... + 279215.

It is an arithmetic number, because the mean of its divisors is an integer number (2190240).

Almost surely, 2^120249000 is an apocalyptic number.

120249000 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 120249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210263040).

120249000 is an abundant number, since it is smaller than the sum of its proper divisors (300277080).

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

120249000 is a wasteful number, since it uses less digits than its factorization.

120249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120249000 is about 10965.8105035606. The cubic root of 120249000 is about 493.5833385061.

The spelling of 120249000 in words is "one hundred twenty million, two hundred forty-nine thousand".