1121011002000 has 280 divisors, whose sum is σ = 4064053064760. Its totient is φ = 298935878400.

The previous prime is 1121011001959. The next prime is 1121011002017. The reversal of 1121011002000 is 2001101211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 291716651664 + 829294350336 = 540108^2 + 910656^2 .

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 55 ways as a sum of consecutive naturals, for example, 1073566 + ... + 1842434.

Almost surely, 2^{1121011002000} is an apocalyptic number.

1121011002000 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 1121011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032026532380).

1121011002000 is an abundant number, since it is smaller than the sum of its proper divisors (2943042062760).

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

1121011002000 is an frugal number, since it uses more digits than its factorization.

1121011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768910 (or 768879 counting only the distinct ones).

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

Adding to 1121011002000 its reverse (2001101211), we get a palindrome (1123012103211).

The spelling of 1121011002000 in words is "one trillion, one hundred twenty-one billion, eleven million, two thousand".