120021033000 has 256 divisors, whose sum is σ = 417205002240. Its totient is φ = 28476576000.

The previous prime is 120021032977. The next prime is 120021033001. The reversal of 120021033000 is 330120021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120021033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1512309 + ... + 1589691.

It is an arithmetic number, because the mean of its divisors is an integer number (1629707040).

Almost surely, 2^120021033000 is an apocalyptic number.

120021033000 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 120021033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208602501120).

120021033000 is an abundant number, since it is smaller than the sum of its proper divisors (297183969240).

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

120021033000 is a wasteful number, since it uses less digits than its factorization.

120021033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77465 (or 77451 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 120021033000 its reverse (330120021), we get a palindrome (120351153021).

The spelling of 120021033000 in words is "one hundred twenty billion, twenty-one million, thirty-three thousand".