120312000 has 224 divisors, whose sum is σ = 442203840. Its totient is φ = 32025600.

The previous prime is 120311993. The next prime is 120312007. The reversal of 120312000 is 213021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120311993) and next prime (120312007).

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

It is not an unprimeable number, because it can be changed into a prime (120312007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215722 + ... + 216278.

Almost surely, 2^120312000 is an apocalyptic number.

120312000 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 120312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

120312000 is an abundant number, since it is smaller than the sum of its proper divisors (321891840).

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

120312000 is an equidigital number, since it uses as much as digits as its factorization.

120312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120312000 is about 10968.6826921012. The cubic root of 120312000 is about 493.6695216800.

Adding to 120312000 its reverse (213021), we get a palindrome (120525021).

It can be divided in two parts, 1203 and 12000, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 120312000 in words is "one hundred twenty million, three hundred twelve thousand".