1133120213120 has 128 divisors (see below), whose sum is σ = 3096708935040. Its totient is φ = 388390109184.

The previous prime is 1133120213101. The next prime is 1133120213131. The reversal of 1133120213120 is 213120213311.

It is a happy number.

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

It is a super-2 number, since 2×1133120213120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1133120213092 and 1133120213101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16959299 + ... + 17025981.

It is an arithmetic number, because the mean of its divisors is an integer number (24193038555).

Almost surely, 2^{1133120213120} is an apocalyptic number.

1133120213120 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 1133120213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548354467520).

1133120213120 is an abundant number, since it is smaller than the sum of its proper divisors (1963588721920).

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

1133120213120 is an equidigital number, since it uses as much as digits as its factorization.

1133120213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70502 (or 70490 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1133120213120 its reverse (213120213311), we get a palindrome (1346240426431).

The spelling of 1133120213120 in words is "one trillion, one hundred thirty-three billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty".