2012212132200 has 72 divisors (see below), whose sum is σ = 6757679083350. Its totient is φ = 536589901440.

The previous prime is 2012212132181. The next prime is 2012212132219. The reversal of 2012212132200 is 22312122102.

2012212132200 is a `hidden beast` number, since 201 + 22 + 121 + 322 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2012212132181) and next prime (2012212132219).

It can be written as a sum of positive squares in 3 ways, for example, as 766608815844 + 1245603316356 = 875562^2 + 1116066^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 558946015 + ... + 558949614.

Almost surely, 2^{2012212132200} is an apocalyptic number.

2012212132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012212132200 is an abundant number, since it is smaller than the sum of its proper divisors (4745466951150).

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

2012212132200 is a wasteful number, since it uses less digits than its factorization.

2012212132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117895651 (or 1117895639 counting only the distinct ones).

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

Adding to 2012212132200 its reverse (22312122102), we get a palindrome (2034524254302).

It can be divided in two parts, 2012212 and 132200, that added together give a palindrome (2144412).

The spelling of 2012212132200 in words is "two trillion, twelve billion, two hundred twelve million, one hundred thirty-two thousand, two hundred".