1121429709100 has 72 divisors (see below), whose sum is σ = 2442655691280. Its totient is φ = 446887034880.

The previous prime is 1121429709091. The next prime is 1121429709107. The reversal of 1121429709100 is 19079241211.

It is a happy number.

It is a super-2 number, since 2×1121429709100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1121429709100.

It is not an unprimeable number, because it can be changed into a prime (1121429709107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39627756 + ... + 39656044.

It is an arithmetic number, because the mean of its divisors is an integer number (33925773490).

Almost surely, 2^{1121429709100} is an apocalyptic number.

1121429709100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121429709100 is an abundant number, since it is smaller than the sum of its proper divisors (1321225982180).

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

1121429709100 is a wasteful number, since it uses less digits than its factorization.

1121429709100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29779 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 1121429709100 in words is "one trillion, one hundred twenty-one billion, four hundred twenty-nine million, seven hundred nine thousand, one hundred".