1121013202320 has 360 divisors, whose sum is σ = 4147794633528. Its totient is φ = 271124029440.

The previous prime is 1121013202319. The next prime is 1121013202333. The reversal of 1121013202320 is 232023101211.

1121013202320 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 1 + 320 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94106605824 + 1026906596496 = 306768^2 + 1013364^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1121013202293 and 1121013202302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37708102 + ... + 37737818.

Almost surely, 2^{1121013202320} is an apocalyptic number.

1121013202320 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 1121013202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073897316764).

1121013202320 is an abundant number, since it is smaller than the sum of its proper divisors (3026781431208).

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

1121013202320 is a wasteful number, since it uses less digits than its factorization.

1121013202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30191 (or 30171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1121013202320 its reverse (232023101211), we get a palindrome (1353036303531).

The spelling of 1121013202320 in words is "one trillion, one hundred twenty-one billion, thirteen million, two hundred two thousand, three hundred twenty".