2132202301200 has 300 divisors, whose sum is σ = 7662343471860. Its totient is φ = 567841259520.

The previous prime is 2132202301199. The next prime is 2132202301259. The reversal of 2132202301200 is 21032022312.

2132202301200 is a `hidden beast` number, since 2 + 13 + 220 + 230 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 171485435664 + 1960716865536 = 414108^2 + 1400256^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 24872812 + ... + 24958388.

Almost surely, 2^{2132202301200} is an apocalyptic number.

2132202301200 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 2132202301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831171735930).

2132202301200 is an abundant number, since it is smaller than the sum of its proper divisors (5530141170660).

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

2132202301200 is a wasteful number, since it uses less digits than its factorization.

2132202301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86376 (or 86356 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2132202301200 its reverse (21032022312), we get a palindrome (2153234323512).

The spelling of 2132202301200 in words is "two trillion, one hundred thirty-two billion, two hundred two million, three hundred one thousand, two hundred".