1205422135452 has 96 divisors (see below), whose sum is σ = 3173354150400. Its totient is φ = 395617913856.

The previous prime is 1205422135447. The next prime is 1205422135459. The reversal of 1205422135452 is 2545312245021.

1205422135452 is a `hidden beast` number, since 1 + 2 + 0 + 54 + 22 + 135 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205422135459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15250249 + ... + 15329087.

It is an arithmetic number, because the mean of its divisors is an integer number (33055772400).

Almost surely, 2^{1205422135452} is an apocalyptic number.

1205422135452 is a gapful number since it is divisible by the number (12) 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 1205422135452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586677075200).

1205422135452 is an abundant number, since it is smaller than the sum of its proper divisors (1967932014948).

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

1205422135452 is a wasteful number, since it uses less digits than its factorization.

1205422135452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81032 (or 81024 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1205422135452 in words is "one trillion, two hundred five billion, four hundred twenty-two million, one hundred thirty-five thousand, four hundred fifty-two".