3505012334112 has 96 divisors (see below), whose sum is σ = 9371692673280. Its totient is φ = 1146701445120.

The previous prime is 3505012334029. The next prime is 3505012334141. The reversal of 3505012334112 is 2114332105053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3505012334112² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3505012334112.

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, 2064964 + ... + 3357692.

It is an arithmetic number, because the mean of its divisors is an integer number (97621798680).

Almost surely, 2^{3505012334112} is an apocalyptic number.

3505012334112 is a gapful number since it is divisible by the number (32) 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 3505012334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685846336640).

3505012334112 is an abundant number, since it is smaller than the sum of its proper divisors (5866680339168).

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

3505012334112 is a wasteful number, since it uses less digits than its factorization.

3505012334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293266 (or 1293258 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 3505012334112 its reverse (2114332105053), we get a palindrome (5619344439165).

The spelling of 3505012334112 in words is "three trillion, five hundred five billion, twelve million, three hundred thirty-four thousand, one hundred twelve".