11211201221220 has 576 divisors, whose sum is σ = 47351302742016. Its totient is φ = 2150399301120.

The previous prime is 11211201221219. The next prime is 11211201221251. The reversal of 11211201221220 is 2212210211211.

11211201221220 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 201 + 221 + 220 = 666.

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 = 11211201221193 and 11211201221202.

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, 3712597 + ... + 6017123.

It is an arithmetic number, because the mean of its divisors is an integer number (82207122816).

Almost surely, 2^{11211201221220} is an apocalyptic number.

11211201221220 is a gapful number since it is divisible by the number (10) 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 11211201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675651371008).

11211201221220 is an abundant number, since it is smaller than the sum of its proper divisors (36140101520796).

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

11211201221220 is a wasteful number, since it uses less digits than its factorization.

11211201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304582 (or 2304568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11211201221220 its reverse (2212210211211), we get a palindrome (13423411432431).

The spelling of 11211201221220 in words is "eleven trillion, two hundred eleven billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".