1101120311120 has 40 divisors (see below), whose sum is σ = 2563193061960. Its totient is φ = 439916797440.

The previous prime is 1101120311113. The next prime is 1101120311143. The reversal of 1101120311120 is 211130211011.

It can be written as a sum of positive squares in 4 ways, for example, as 115004176 + 1101005306944 = 10724^2 + 1049288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1101120311120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101120311095 and 1101120311104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8235251 + ... + 8367890.

It is an arithmetic number, because the mean of its divisors is an integer number (64079826549).

Almost surely, 2^{1101120311120} is an apocalyptic number.

1101120311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101120311120 is an abundant number, since it is smaller than the sum of its proper divisors (1462072750840).

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

1101120311120 is a wasteful number, since it uses less digits than its factorization.

1101120311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16603983 (or 16603977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1101120311120 its reverse (211130211011), we get a palindrome (1312250522131).

The spelling of 1101120311120 in words is "one trillion, one hundred one billion, one hundred twenty million, three hundred eleven thousand, one hundred twenty".