1121211222120 has 256 divisors, whose sum is σ = 4086354355200. Its totient is φ = 271193944320.

The previous prime is 1121211222067. The next prime is 1121211222133. The reversal of 1121211222120 is 212221121211.

1121211222120 is a `hidden beast` number, since 112 + 1 + 211 + 222 + 120 = 666.

It is a super-2 number, since 2×1121211222120² (a number of 25 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 = 1121211222093 and 1121211222102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5156319 + ... + 5369361.

It is an arithmetic number, because the mean of its divisors is an integer number (15962321700).

Almost surely, 2^{1121211222120} is an apocalyptic number.

1121211222120 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 1121211222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043177177600).

1121211222120 is an abundant number, since it is smaller than the sum of its proper divisors (2965143133080).

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

1121211222120 is a wasteful number, since it uses less digits than its factorization.

1121211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213517 (or 213507 counting only the distinct ones).

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

Adding to 1121211222120 its reverse (212221121211), we get a palindrome (1333432343331).

The spelling of 1121211222120 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".