201200120000 has 560 divisors, whose sum is σ = 587885316480. Its totient is φ = 67507200000.

The previous prime is 201200119963. The next prime is 201200120027. The reversal of 201200120000 is 21002102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201200120000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 342759707 + ... + 342760293.

It is an arithmetic number, because the mean of its divisors is an integer number (1049795208).

Almost surely, 2^201200120000 is an apocalyptic number.

201200120000 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 201200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293942658240).

201200120000 is an abundant number, since it is smaller than the sum of its proper divisors (386685196480).

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

201200120000 is a wasteful number, since it uses less digits than its factorization.

201200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

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

Adding to 201200120000 its reverse (21002102), we get a palindrome (201221122102).

The spelling of 201200120000 in words is "two hundred one billion, two hundred million, one hundred twenty thousand".