120241800 has 192 divisors, whose sum is σ = 473481600. Its totient is φ = 27475200.

The previous prime is 120241763. The next prime is 120241817. The reversal of 120241800 is 8142021.

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, 36210 + ... + 39390.

It is an arithmetic number, because the mean of its divisors is an integer number (2466050).

Almost surely, 2^120241800 is an apocalyptic number.

120241800 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 120241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236740800).

120241800 is an abundant number, since it is smaller than the sum of its proper divisors (353239800).

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

120241800 is a wasteful number, since it uses less digits than its factorization.

120241800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120241800 is about 10965.4822055393. The cubic root of 120241800 is about 493.5734870840.

Adding to 120241800 its reverse (8142021), we get a palindrome (128383821).

It can be divided in two parts, 12024 and 1800, that added together give a cube (13824 = 24³).

The spelling of 120241800 in words is "one hundred twenty million, two hundred forty-one thousand, eight hundred".