211212210011200 has 42 divisors (see below), whose sum is σ = 519714044262746. Its totient is φ = 84484884003840.

The previous prime is 211212210011177. The next prime is 211212210011219. The reversal of 211212210011200 is 2110012212112.

It can be written as a sum of positive squares in 3 ways, for example, as 30683534289984 + 180528675721216 = 5539272^2 + 13436096^2 .

It is a super-2 number, since 2×211212210011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66003814029 + ... + 66003817228.

Almost surely, 2^{211212210011200} is an apocalyptic number.

211212210011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212210011200 is an abundant number, since it is smaller than the sum of its proper divisors (308501834251546).

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

211212210011200 is a wasteful number, since it uses less digits than its factorization.

211212210011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132007631279 (or 132007631264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211212210011200 its reverse (2110012212112), we get a palindrome (213322222223312).

The spelling of 211212210011200 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred ten million, eleven thousand, two hundred".