212011111200200 has 96 divisors (see below), whose sum is σ = 543790600877160. Its totient is φ = 76371732326400.

The previous prime is 212011111200143. The next prime is 212011111200263. The reversal of 212011111200200 is 2002111110212.

212011111200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 43250694228676 + 168760416971524 = 6576526^2 + 12990782^2 .

It is a super-2 number, since 2×212011111200200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994316999 + ... + 994530198.

Almost surely, 2^{212011111200200} is an apocalyptic number.

212011111200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011111200200 is an abundant number, since it is smaller than the sum of its proper divisors (331779489676960).

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

212011111200200 is a wasteful number, since it uses less digits than its factorization.

212011111200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988847267 (or 1988847258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011111200200 its reverse (2002111110212), we get a palindrome (214013222310412).

The spelling of 212011111200200 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, two hundred thousand, two hundred".