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120021210000 = 243354444523
BaseRepresentation
bin110111111000111010…
…0100101001110010000
3102110210111002012011000
41233301310211032100
53431300412210000
6131045331022000
711446144311066
oct1576164451620
9373714065130
10120021210000
114699a93154a
121b316a3a900
13b419702473
145b480a8036
1531c6c95000
hex1bf1d25390

120021210000 has 200 divisors, whose sum is σ = 430494822560. Its totient is φ = 32005584000.

The previous prime is 120021209999. The next prime is 120021210007. The reversal of 120021210000 is 12120021.

It is a tau number, because it is divible by the number of its divisors (200).

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 (120021210007) 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 39 ways as a sum of consecutive naturals, for example, 47739 + ... + 492261.

Almost surely, 2120021210000 is an apocalyptic number.

120021210000 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 120021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215247411280).

120021210000 is an abundant number, since it is smaller than the sum of its proper divisors (310473612560).

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

120021210000 is an equidigital number, since it uses as much as digits as its factorization.

120021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444560 (or 444533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120021210000 its reverse (12120021), we get a palindrome (120033330021).

The spelling of 120021210000 in words is "one hundred twenty billion, twenty-one million, two hundred ten thousand".