120201012121000 has 256 divisors, whose sum is σ = 306201212928000. Its totient is φ = 44016372691200.

The previous prime is 120201012120983. The next prime is 120201012121063. The reversal of 120201012121000 is 121210102021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69695079 + ... + 71398921.

It is an arithmetic number, because the mean of its divisors is an integer number (1196098488000).

Almost surely, 2^{120201012121000} is an apocalyptic number.

120201012121000 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 120201012121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153100606464000).

120201012121000 is an abundant number, since it is smaller than the sum of its proper divisors (186000200807000).

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

120201012121000 is a wasteful number, since it uses less digits than its factorization.

120201012121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704009 (or 1703995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120201012121000 its reverse (121210102021), we get a palindrome (120322222223021).

The spelling of 120201012121000 in words is "one hundred twenty trillion, two hundred one billion, twelve million, one hundred twenty-one thousand".