120849300 has 288 divisors, whose sum is σ = 457887360. Its totient is φ = 26956800.

The previous prime is 120849299. The next prime is 120849301. The reversal of 120849300 is 3948021.

It is an interprime number because it is at equal distance from previous prime (120849299) and next prime (120849301).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120849301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385944 + ... + 386256.

Almost surely, 2^120849300 is an apocalyptic number.

120849300 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 120849300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228943680).

120849300 is an abundant number, since it is smaller than the sum of its proper divisors (337038060).

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

120849300 is a wasteful number, since it uses less digits than its factorization.

120849300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120849300 is about 10993.1478658299. The cubic root of 120849300 is about 494.4033214500.

The spelling of 120849300 in words is "one hundred twenty million, eight hundred forty-nine thousand, three hundred".