1121211341100 has 216 divisors, whose sum is σ = 3734949385440. Its totient is φ = 280354928640.

The previous prime is 1121211341077. The next prime is 1121211341101. The reversal of 1121211341100 is 11431121211.

1121211341100 is a `hidden beast` number, since 1 + 1 + 212 + 11 + 341 + 100 = 666.

It is a super-2 number, since 2×1121211341100² (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 not an unprimeable number, because it can be changed into a prime (1121211341101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3979489 + ... + 4251911.

It is an arithmetic number, because the mean of its divisors is an integer number (17291432340).

Almost surely, 2^{1121211341100} is an apocalyptic number.

1121211341100 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 1121211341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867474692720).

1121211341100 is an abundant number, since it is smaller than the sum of its proper divisors (2613738044340).

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

1121211341100 is a wasteful number, since it uses less digits than its factorization.

1121211341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272729 (or 272719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121211341100 its reverse (11431121211), we get a palindrome (1132642462311).

The spelling of 1121211341100 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, three hundred forty-one thousand, one hundred".