201301200 has 360 divisors, whose sum is σ = 769568800. Its totient is φ = 50388480.

The previous prime is 201301157. The next prime is 201301241. The reversal of 201301200 is 2103102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 1846746 + ... + 1846854.

Almost surely, 2^201301200 is an apocalyptic number.

201301200 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 201301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384784400).

201301200 is an abundant number, since it is smaller than the sum of its proper divisors (568267600).

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

201301200 is a wasteful number, since it uses less digits than its factorization.

201301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201301200 is about 14188.0654072358. The cubic root of 201301200 is about 586.0690511027.

Adding to 201301200 its reverse (2103102), we get a palindrome (203404302).

It can be divided in two parts, 201 and 301200, that added together give a square (301401 = 549²).

The spelling of 201301200 in words is "two hundred one million, three hundred one thousand, two hundred".