120200121001000 has 256 divisors, whose sum is σ = 308000094105600. Its totient is φ = 43728362496000.

The previous prime is 120200121000931. The next prime is 120200121001063. The reversal of 120200121001000 is 100121002021.

120200121001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 63 ways as a sum of consecutive naturals, for example, 62168860 + ... + 64073140.

It is an arithmetic number, because the mean of its divisors is an integer number (1203125367600).

Almost surely, 2^{120200121001000} is an apocalyptic number.

120200121001000 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 120200121001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154000047052800).

120200121001000 is an abundant number, since it is smaller than the sum of its proper divisors (187799973104600).

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

120200121001000 is a wasteful number, since it uses less digits than its factorization.

120200121001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904445 (or 1904431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120200121001000 its reverse (100121002021), we get a palindrome (120300242003021).

The spelling of 120200121001000 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty-one million, one thousand".