211033201213120 has 224 divisors, whose sum is σ = 591559631712000. Its totient is φ = 70694355087360.

The previous prime is 211033201213057. The next prime is 211033201213171. The reversal of 211033201213120 is 21312102330112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211033201213091 and 211033201213100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18213259 + ... + 27455221.

It is an arithmetic number, because the mean of its divisors is an integer number (2640891213000).

Almost surely, 2^{211033201213120} is an apocalyptic number.

211033201213120 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 211033201213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295779815856000).

211033201213120 is an abundant number, since it is smaller than the sum of its proper divisors (380526430498880).

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

211033201213120 is a wasteful number, since it uses less digits than its factorization.

211033201213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242503 (or 9242493 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211033201213120 its reverse (21312102330112), we get a palindrome (232345303543232).

The spelling of 211033201213120 in words is "two hundred eleven trillion, thirty-three billion, two hundred one million, two hundred thirteen thousand, one hundred twenty".