1120000121100 has 432 divisors, whose sum is σ = 4085476012800. Its totient is φ = 251329052160.

The previous prime is 1120000121089. The next prime is 1120000121147. The reversal of 1120000121100 is 11210000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 378760822 + ... + 378763778.

It is an arithmetic number, because the mean of its divisors is an integer number (9457120400).

Almost surely, 2^{1120000121100} is an apocalyptic number.

1120000121100 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 1120000121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042738006400).

1120000121100 is an abundant number, since it is smaller than the sum of its proper divisors (2965475891700).

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

1120000121100 is a wasteful number, since it uses less digits than its factorization.

1120000121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120000121100 its reverse (11210000211), we get a palindrome (1131210121311).

It can be divided in two parts, 1120000 and 121100, that added together give a triangular number (1241100 = T₁₅₇₅).

The spelling of 1120000121100 in words is "one trillion, one hundred twenty billion, one hundred twenty-one thousand, one hundred".