1012112201120 has 24 divisors (see below), whose sum is σ = 2391115075524. Its totient is φ = 404844880384.

The previous prime is 1012112201099. The next prime is 1012112201129. The reversal of 1012112201120 is 211022112101.

1012112201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 927083973904 + 85028227216 = 962852^2 + 291596^2 .

It is a super-2 number, since 2×1012112201120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012112201095 and 1012112201104.

It is not an unprimeable number, because it can be changed into a prime (1012112201129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3162850469 + ... + 3162850788.

Almost surely, 2^{1012112201120} is an apocalyptic number.

1012112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112201120 is an abundant number, since it is smaller than the sum of its proper divisors (1379002874404).

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

1012112201120 is an equidigital number, since it uses as much as digits as its factorization.

1012112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325701272 (or 6325701264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012112201120 its reverse (211022112101), we get a palindrome (1223134313221).

The spelling of 1012112201120 in words is "one trillion, twelve billion, one hundred twelve million, two hundred one thousand, one hundred twenty".