1205122435212 has 48 divisors (see below), whose sum is σ = 2817553939200. Its totient is φ = 400907593920.

The previous prime is 1205122435193. The next prime is 1205122435213. The reversal of 1205122435212 is 2125342215021.

It is a super-2 number, since 2×1205122435212² (a number of 25 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 1205122435212.

It is not an unprimeable number, because it can be changed into a prime (1205122435213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32041714 + ... + 32079302.

It is an arithmetic number, because the mean of its divisors is an integer number (58699040400).

Almost surely, 2^{1205122435212} is an apocalyptic number.

1205122435212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205122435212 is an abundant number, since it is smaller than the sum of its proper divisors (1612431503988).

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

1205122435212 is a wasteful number, since it uses less digits than its factorization.

1205122435212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42846 (or 42844 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1205122435212 in words is "one trillion, two hundred five billion, one hundred twenty-two million, four hundred thirty-five thousand, two hundred twelve".