212011010011200 has 336 divisors, whose sum is σ = 714413842980480. Its totient is φ = 55005044244480.

The previous prime is 212011010011183. The next prime is 212011010011271. The reversal of 212011010011200 is 2110010110212.

It is a super-3 number, since 3×212011010011200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 5306490424 + ... + 5306530376.

Almost surely, 2^{212011010011200} is an apocalyptic number.

212011010011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357206921490240).

212011010011200 is an abundant number, since it is smaller than the sum of its proper divisors (502402832969280).

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

212011010011200 is a wasteful number, since it uses less digits than its factorization.

212011010011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69894 (or 69879 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212011010011200 its reverse (2110010110212), we get a palindrome (214121020121412).

The spelling of 212011010011200 in words is "two hundred twelve trillion, eleven billion, ten million, eleven thousand, two hundred".