2132011021200 has 120 divisors (see below), whose sum is σ = 6875378400000. Its totient is φ = 564720545280.

The previous prime is 2132011021193. The next prime is 2132011021207. The reversal of 2132011021200 is 21201102312.

It is an interprime number because it is at equal distance from previous prime (2132011021193) and next prime (2132011021207).

It is a tau number, because it is divible by the number of its divisors (120).

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 2132011021200.

It is not an unprimeable number, because it can be changed into a prime (2132011021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5783200 + ... + 6140799.

It is an arithmetic number, because the mean of its divisors is an integer number (57294820000).

Almost surely, 2^{2132011021200} is an apocalyptic number.

2132011021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132011021200 is an abundant number, since it is smaller than the sum of its proper divisors (4743367378800).

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

2132011021200 is a wasteful number, since it uses less digits than its factorization.

2132011021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924169 (or 11924158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2132011021200 its reverse (21201102312), we get a palindrome (2153212123512).

The spelling of 2132011021200 in words is "two trillion, one hundred thirty-two billion, eleven million, twenty-one thousand, two hundred".