212202120112200 has 144 divisors (see below), whose sum is σ = 712738376796420. Its totient is φ = 56579853496320.

The previous prime is 212202120112187. The next prime is 212202120112267. The reversal of 212202120112200 is 2211021202212.

It is a happy number.

212202120112200 is a `hidden beast` number, since 2 + 1 + 220 + 21 + 201 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 155239688468484 + 56962431643716 = 12459522^2 + 7547346^2 .

It is a super-2 number, since 2×212202120112200² (a number of 29 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 6129264 + ... + 21493536.

Almost surely, 2^{212202120112200} is an apocalyptic number.

212202120112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202120112200 is an abundant number, since it is smaller than the sum of its proper divisors (500536256684220).

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

212202120112200 is a wasteful number, since it uses less digits than its factorization.

212202120112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15371968 (or 15371956 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212202120112200 its reverse (2211021202212), we get a palindrome (214413141314412).

The spelling of 212202120112200 in words is "two hundred twelve trillion, two hundred two billion, one hundred twenty million, one hundred twelve thousand, two hundred".