211220120020 has 96 divisors (see below), whose sum is σ = 546546583296. Its totient is φ = 66771302400.

The previous prime is 211220120011. The next prime is 211220120021. The reversal of 211220120020 is 20021022112.

It is a happy number.

It is a super-2 number, since 2×211220120020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537555 + ... + 1669285.

It is an arithmetic number, because the mean of its divisors is an integer number (5693193576).

Almost surely, 2^211220120020 is an apocalyptic number.

211220120020 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 211220120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273273291648).

211220120020 is an abundant number, since it is smaller than the sum of its proper divisors (335326463276).

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

211220120020 is a wasteful number, since it uses less digits than its factorization.

211220120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132641 (or 132639 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211220120020 its reverse (20021022112), we get a palindrome (231241142132).

The spelling of 211220120020 in words is "two hundred eleven billion, two hundred twenty million, one hundred twenty thousand, twenty".