1121632110000 has 700 divisors, whose sum is σ = 4149762688368. Its totient is φ = 293357376000.

The previous prime is 1121632109959. The next prime is 1121632110023. The reversal of 1121632110000 is 112361211.

1121632110000 is a `hidden beast` number, since 1 + 1 + 21 + 632 + 1 + 10 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 386368549 + ... + 386371451.

Almost surely, 2^{1121632110000} is an apocalyptic number.

1121632110000 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 1121632110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074881344184).

1121632110000 is an abundant number, since it is smaller than the sum of its proper divisors (3028130578368).

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

1121632110000 is an frugal number, since it uses more digits than its factorization.

1121632110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1121632110000 its reverse (112361211), we get a palindrome (1121744471211).

The spelling of 1121632110000 in words is "one trillion, one hundred twenty-one billion, six hundred thirty-two million, one hundred ten thousand".