211212001211120 has 640 divisors, whose sum is σ = 672572672593920. Its totient is φ = 59744656097280.

The previous prime is 211212001211093. The next prime is 211212001211203. The reversal of 211212001211120 is 21112100212112.

It is a super-2 number, since 2×211212001211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395393810 + ... + 395927630.

It is an arithmetic number, because the mean of its divisors is an integer number (1050894800928).

Almost surely, 2^{211212001211120} is an apocalyptic number.

211212001211120 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 211212001211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336286336296960).

211212001211120 is an abundant number, since it is smaller than the sum of its proper divisors (461360671382800).

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

211212001211120 is a wasteful number, since it uses less digits than its factorization.

211212001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534033 (or 534027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211212001211120 its reverse (21112100212112), we get a palindrome (232324101423232).

The spelling of 211212001211120 in words is "two hundred eleven trillion, two hundred twelve billion, one million, two hundred eleven thousand, one hundred twenty".