11222021112120 has 768 divisors, whose sum is σ = 47111764976640. Its totient is φ = 2339181047808.

The previous prime is 11222021112101. The next prime is 11222021112143. The reversal of 11222021112120 is 2121112022211.

11222021112120 is a `hidden beast` number, since 112 + 220 + 211 + 1 + 2 + 120 = 666.

It is a super-2 number, since 2×11222021112120² (a number of 27 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 = 11222021112093 and 11222021112102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73338732 + ... + 73491588.

It is an arithmetic number, because the mean of its divisors is an integer number (61343443980).

Almost surely, 2^{11222021112120} is an apocalyptic number.

11222021112120 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 11222021112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23555882488320).

11222021112120 is an abundant number, since it is smaller than the sum of its proper divisors (35889743864520).

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

11222021112120 is a wasteful number, since it uses less digits than its factorization.

11222021112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152986 (or 152970 counting only the distinct ones).

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

Adding to 11222021112120 its reverse (2121112022211), we get a palindrome (13343133134331).

It can be divided in two parts, 1122202 and 1112120, that added together give a palindrome (2234322).

The spelling of 11222021112120 in words is "eleven trillion, two hundred twenty-two billion, twenty-one million, one hundred twelve thousand, one hundred twenty".