1011121320000 has 560 divisors, whose sum is σ = 3659343285312. Its totient is φ = 244285440000.

The previous prime is 1011121319987. The next prime is 1011121320007. The reversal of 1011121320000 is 231211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1011121320007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 444838864 + ... + 444841136.

Almost surely, 2^{1011121320000} is an apocalyptic number.

1011121320000 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 1011121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829671642656).

1011121320000 is an abundant number, since it is smaller than the sum of its proper divisors (2648221965312).

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

1011121320000 is a wasteful number, since it uses less digits than its factorization.

1011121320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1011121320000 its reverse (231211101), we get a palindrome (1011352531101).

The spelling of 1011121320000 in words is "one trillion, eleven billion, one hundred twenty-one million, three hundred twenty thousand".