2132120212200 has 432 divisors, whose sum is σ = 8083236246540. Its totient is φ = 502906060800.

The previous prime is 2132120212199. The next prime is 2132120212223. The reversal of 2132120212200 is 22120212312.

2132120212200 is a `hidden beast` number, since 2 + 132 + 120 + 212 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 513082824804 + 1619037387396 = 716298^2 + 1272414^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7926312 + ... + 8190888.

Almost surely, 2^{2132120212200} is an apocalyptic number.

2132120212200 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 2132120212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041618123270).

2132120212200 is an abundant number, since it is smaller than the sum of its proper divisors (5951116034340).

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

2132120212200 is a wasteful number, since it uses less digits than its factorization.

2132120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264658 (or 264635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2132120212200 its reverse (22120212312), we get a palindrome (2154240424512).

The spelling of 2132120212200 in words is "two trillion, one hundred thirty-two billion, one hundred twenty million, two hundred twelve thousand, two hundred".