120000201012 has 144 divisors (see below), whose sum is σ = 327461202432. Its totient is φ = 36953832960.

The previous prime is 120000200941. The next prime is 120000201019. The reversal of 120000201012 is 210102000021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120000200985 and 120000201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4182837 + ... + 4211427.

It is an arithmetic number, because the mean of its divisors is an integer number (2274036128).

Almost surely, 2^120000201012 is an apocalyptic number.

120000201012 is a gapful number since it is divisible by the number (12) 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 120000201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163730601216).

120000201012 is an abundant number, since it is smaller than the sum of its proper divisors (207461001420).

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

120000201012 is a wasteful number, since it uses less digits than its factorization.

120000201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28798 (or 28793 counting only the distinct ones).

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

Adding to 120000201012 its reverse (210102000021), we get a palindrome (330102201033).

The spelling of 120000201012 in words is "one hundred twenty billion, two hundred one thousand, twelve".