1205524424132 has 72 divisors (see below), whose sum is σ = 2511960653664. Its totient is φ = 504480348288.

The previous prime is 1205524424129. The next prime is 1205524424179. The reversal of 1205524424132 is 2314244255021.

It is a junction number, because it is equal to n+sod(n) for n = 1205524424092 and 1205524424101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29199248 + ... + 29240504.

It is an arithmetic number, because the mean of its divisors is an integer number (34888342412).

Almost surely, 2^{1205524424132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205524424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255980326832).

1205524424132 is an abundant number, since it is smaller than the sum of its proper divisors (1306436229532).

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

1205524424132 is a wasteful number, since it uses less digits than its factorization.

1205524424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44785 (or 44776 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1205524424132 its reverse (2314244255021), we get a palindrome (3519768679153).

The spelling of 1205524424132 in words is "one trillion, two hundred five billion, five hundred twenty-four million, four hundred twenty-four thousand, one hundred thirty-two".