211212132213120 has 1024 divisors, whose sum is σ = 768540176179200. Its totient is φ = 49067104665600.

The previous prime is 211212132213113. The next prime is 211212132213289. The reversal of 211212132213120 is 21312231212112.

It is a super-2 number, since 2×211212132213120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2208798910 + ... + 2208894530.

It is an arithmetic number, because the mean of its divisors is an integer number (750527515800).

Almost surely, 2^{211212132213120} is an apocalyptic number.

211212132213120 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 211212132213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384270088089600).

211212132213120 is an abundant number, since it is smaller than the sum of its proper divisors (557328043966080).

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

211212132213120 is a wasteful number, since it uses less digits than its factorization.

211212132213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95787 (or 95775 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211212132213120 its reverse (21312231212112), we get a palindrome (232524363425232).

The spelling of 211212132213120 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".