201052341200 has 120 divisors (see below), whose sum is σ = 500486493600. Its totient is φ = 77565729280.

The previous prime is 201052341181. The next prime is 201052341229. The reversal of 201052341200 is 2143250102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170431 + ... + 1331169.

It is an arithmetic number, because the mean of its divisors is an integer number (4170720780).

Almost surely, 2^201052341200 is an apocalyptic number.

201052341200 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 201052341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250243246800).

201052341200 is an abundant number, since it is smaller than the sum of its proper divisors (299434152400).

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

201052341200 is a wasteful number, since it uses less digits than its factorization.

201052341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160869 (or 160858 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 201052341200 its reverse (2143250102), we get a palindrome (203195591302).

The spelling of 201052341200 in words is "two hundred one billion, fifty-two million, three hundred forty-one thousand, two hundred".