1201000012000 has 96 divisors (see below), whose sum is σ = 2951723829600. Its totient is φ = 480258892800.

The previous prime is 1201000011983. The next prime is 1201000012033. The reversal of 1201000012000 is 2100001021.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14145676 + ... + 14230324.

It is an arithmetic number, because the mean of its divisors is an integer number (30747123225).

Almost surely, 2^{1201000012000} is an apocalyptic number.

1201000012000 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 1201000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475861914800).

1201000012000 is an abundant number, since it is smaller than the sum of its proper divisors (1750723817600).

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

1201000012000 is an equidigital number, since it uses as much as digits as its factorization.

1201000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88221 (or 88203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1201000012000 its reverse (2100001021), we get a palindrome (1203100013021).

The spelling of 1201000012000 in words is "one trillion, two hundred one billion, twelve thousand".