120333213000 has 2304 divisors, whose sum is σ = 591925501440. Its totient is φ = 21275136000.

The previous prime is 120333212983. The next prime is 120333213059. The reversal of 120333213000 is 312333021.

120333213000 is a `hidden beast` number, since 1 + 203 + 332 + 130 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3252248982 + ... + 3252249018.

It is an arithmetic number, because the mean of its divisors is an integer number (256912110).

Almost surely, 2^120333213000 is an apocalyptic number.

120333213000 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 120333213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295962750720).

120333213000 is an abundant number, since it is smaller than the sum of its proper divisors (471592288440).

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

120333213000 is a wasteful number, since it uses less digits than its factorization.

120333213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120333213000 its reverse (312333021), we get a palindrome (120645546021).

It can be divided in two parts, 120333 and 213000, that added together give a palindrome (333333).

The spelling of 120333213000 in words is "one hundred twenty billion, three hundred thirty-three million, two hundred thirteen thousand".