11202111222120 has 1536 divisors, whose sum is σ = 48522355015680. Its totient is φ = 2177767710720.

The previous prime is 11202111222119. The next prime is 11202111222179. The reversal of 11202111222120 is 2122211120211.

11202111222120 is a `hidden beast` number, since 1 + 120 + 211 + 122 + 212 + 0 = 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 = 11202111222093 and 11202111222102.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1766055669 + ... + 1766062011.

It is an arithmetic number, because the mean of its divisors is an integer number (31590074880).

Almost surely, 2^{11202111222120} is an apocalyptic number.

11202111222120 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 11202111222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261177507840).

11202111222120 is an abundant number, since it is smaller than the sum of its proper divisors (37320243793560).

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

11202111222120 is a wasteful number, since it uses less digits than its factorization.

11202111222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6488 counting only the distinct ones).

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

Adding to 11202111222120 its reverse (2122211120211), we get a palindrome (13324322342331).

The spelling of 11202111222120 in words is "eleven trillion, two hundred two billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty".