120201210000 has 300 divisors, whose sum is σ = 421277210640. Its totient is φ = 31983840000.

The previous prime is 120201209957. The next prime is 120201210029. The reversal of 120201210000 is 12102021.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 51388831 + ... + 51391169.

Almost surely, 2^120201210000 is an apocalyptic number.

120201210000 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 120201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210638605320).

120201210000 is an abundant number, since it is smaller than the sum of its proper divisors (301076000640).

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

120201210000 is a wasteful number, since it uses less digits than its factorization.

120201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2920 counting only the distinct ones).

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

Adding to 120201210000 its reverse (12102021), we get a palindrome (120213312021).

The spelling of 120201210000 in words is "one hundred twenty billion, two hundred one million, two hundred ten thousand".