1000120011012 has 36 divisors (see below), whose sum is σ = 2537207810956. Its totient is φ = 332169819840.

The previous prime is 1000120010971. The next prime is 1000120011019. The reversal of 1000120011012 is 2101100210001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 306853955136 + 693266055876 = 553944^2 + 832626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000120010985 and 1000120011003.

It is not an unprimeable number, because it can be changed into a prime (1000120011019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50136439 + ... + 50156382.

Almost surely, 2^{1000120011012} is an apocalyptic number.

1000120011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000120011012 is an abundant number, since it is smaller than the sum of its proper divisors (1537087799944).

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

1000120011012 is a wasteful number, since it uses less digits than its factorization.

1000120011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100293108 (or 100293103 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000120011012 its reverse (2101100210001), we get a palindrome (3101220221013).

The spelling of 1000120011012 in words is "one trillion, one hundred twenty million, eleven thousand, twelve".