201213600 has 432 divisors, whose sum is σ = 801511200. Its totient is φ = 43653120.

The previous prime is 201213587. The next prime is 201213611. The reversal of 201213600 is 6312102.

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 201213600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3410371 + ... + 3410429.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^201213600 is an apocalyptic number.

201213600 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 201213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400755600).

201213600 is an abundant number, since it is smaller than the sum of its proper divisors (600297600).

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

201213600 is a wasteful number, since it uses less digits than its factorization.

201213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 201213600 is about 14184.9779696692. The cubic root of 201213600 is about 585.9840257811.

Adding to 201213600 its reverse (6312102), we get a palindrome (207525702).

The spelling of 201213600 in words is "two hundred one million, two hundred thirteen thousand, six hundred".