211220220120120 has 768 divisors, whose sum is σ = 726893837429760. Its totient is φ = 55153612800000.

The previous prime is 211220220120109. The next prime is 211220220120139. The reversal of 211220220120120 is 21021022022112.

It is a happy number.

211220220120120 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 220 + 1 + 201 + 20 = 666.

It is a super-2 number, since 2×211220220120120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211220220120093 and 211220220120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39996251880 + ... + 39996257160.

It is an arithmetic number, because the mean of its divisors is an integer number (946476350820).

Almost surely, 2^{211220220120120} is an apocalyptic number.

211220220120120 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 211220220120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363446918714880).

211220220120120 is an abundant number, since it is smaller than the sum of its proper divisors (515673617309640).

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

211220220120120 is a wasteful number, since it uses less digits than its factorization.

211220220120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211220220120120 its reverse (21021022022112), we get a palindrome (232241242142232).

The spelling of 211220220120120 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".