120420000 has 240 divisors, whose sum is σ = 440858880. Its totient is φ = 31968000.

The previous prime is 120419989. The next prime is 120420029. The reversal of 120420000 is 24021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539889 + ... + 540111.

It is an arithmetic number, because the mean of its divisors is an integer number (1836912).

Almost surely, 2^120420000 is an apocalyptic number.

120420000 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 120420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220429440).

120420000 is an abundant number, since it is smaller than the sum of its proper divisors (320438880).

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

120420000 is an equidigital number, since it uses as much as digits as its factorization.

120420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120420000 is about 10973.6046949031. The cubic root of 120420000 is about 493.8171942948.

Adding to 120420000 its reverse (24021), we get a palindrome (120444021).

The spelling of 120420000 in words is "one hundred twenty million, four hundred twenty thousand".