201200212320 has 96 divisors (see below), whose sum is σ = 634069386720. Its totient is φ = 53628948480.

The previous prime is 201200212271. The next prime is 201200212331. The reversal of 201200212320 is 23212002102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201200212320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201200212320.

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, 971716 + ... + 1160444.

It is an arithmetic number, because the mean of its divisors is an integer number (6604889445).

Almost surely, 2^201200212320 is an apocalyptic number.

201200212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200212320 is an abundant number, since it is smaller than the sum of its proper divisors (432869174400).

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

201200212320 is a wasteful number, since it uses less digits than its factorization.

201200212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190968 (or 190960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201200212320 its reverse (23212002102), we get a palindrome (224412214422).

The spelling of 201200212320 in words is "two hundred one billion, two hundred million, two hundred twelve thousand, three hundred twenty".