201202112000 has 160 divisors (see below), whose sum is σ = 512392383360. Its totient is φ = 78767308800.

The previous prime is 201202111997. The next prime is 201202112021. The reversal of 201202112000 is 211202102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2974556 + ... + 3041444.

It is an arithmetic number, because the mean of its divisors is an integer number (3202452396).

Almost surely, 2^201202112000 is an apocalyptic number.

201202112000 is a gapful number since it is divisible by the number (20) 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 201202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256196191680).

201202112000 is an abundant number, since it is smaller than the sum of its proper divisors (311190271360).

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

201202112000 is an frugal number, since it uses more digits than its factorization.

201202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66969 (or 66943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201202112000 its reverse (211202102), we get a palindrome (201413314102).

The spelling of 201202112000 in words is "two hundred one billion, two hundred two million, one hundred twelve thousand".