1034134015120 has 20 divisors (see below), whose sum is σ = 2404361585340. Its totient is φ = 413653606016.

The previous prime is 1034134015099. The next prime is 1034134015133. The reversal of 1034134015120 is 215104314301.

It can be written as a sum of positive squares in 2 ways, for example, as 302746450176 + 731387564944 = 550224^2 + 855212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1034134015120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6463337515 + ... + 6463337674.

It is an arithmetic number, because the mean of its divisors is an integer number (120218079267).

Almost surely, 2^{1034134015120} is an apocalyptic number.

1034134015120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034134015120 is an abundant number, since it is smaller than the sum of its proper divisors (1370227570220).

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

1034134015120 is a wasteful number, since it uses less digits than its factorization.

1034134015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926675202 (or 12926675196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1034134015120 its reverse (215104314301), we get a palindrome (1249238329421).

The spelling of 1034134015120 in words is "one trillion, thirty-four billion, one hundred thirty-four million, fifteen thousand, one hundred twenty".