1131021205120 has 128 divisors (see below), whose sum is σ = 2770393570560. Its totient is φ = 441336877056.

The previous prime is 1131021205117. The next prime is 1131021205121. The reversal of 1131021205120 is 215021201311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1131021205120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131021205121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9173322 + ... + 9295798.

It is an arithmetic number, because the mean of its divisors is an integer number (21643699770).

Almost surely, 2^{1131021205120} is an apocalyptic number.

1131021205120 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 1131021205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385196785280).

1131021205120 is an abundant number, since it is smaller than the sum of its proper divisors (1639372365440).

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

1131021205120 is a wasteful number, since it uses less digits than its factorization.

1131021205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122850 (or 122838 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 1131021205120 its reverse (215021201311), we get a palindrome (1346042406431).

The spelling of 1131021205120 in words is "one trillion, one hundred thirty-one billion, twenty-one million, two hundred five thousand, one hundred twenty".