211211113020 has 192 divisors, whose sum is σ = 620007696000. Its totient is φ = 53664878592.

The previous prime is 211211113019. The next prime is 211211113021. The reversal of 211211113020 is 20311112112.

It is an interprime number because it is at equal distance from previous prime (211211113019) and next prime (211211113021).

It is a super-2 number, since 2×211211113020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211113021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76830606 + ... + 76833354.

It is an arithmetic number, because the mean of its divisors is an integer number (3229206750).

Almost surely, 2^211211113020 is an apocalyptic number.

211211113020 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 211211113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310003848000).

211211113020 is an abundant number, since it is smaller than the sum of its proper divisors (408796582980).

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

211211113020 is a wasteful number, since it uses less digits than its factorization.

211211113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211211113020 its reverse (20311112112), we get a palindrome (231522225132).

The spelling of 211211113020 in words is "two hundred eleven billion, two hundred eleven million, one hundred thirteen thousand, twenty".