1272179160252 has 768 divisors, whose sum is σ = 4714536960000. Its totient is φ = 285676554240.

The previous prime is 1272179160151. The next prime is 1272179160253. The reversal of 1272179160252 is 2520619712721.

1272179160252 is a `hidden beast` number, since 1 + 2 + 72 + 179 + 160 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1272179160198 and 1272179160207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272179160253) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182807149 + ... + 182814107.

It is an arithmetic number, because the mean of its divisors is an integer number (6138720000).

Almost surely, 2^{1272179160252} is an apocalyptic number.

1272179160252 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 1272179160252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357268480000).

1272179160252 is an abundant number, since it is smaller than the sum of its proper divisors (3442357799748).

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

1272179160252 is a wasteful number, since it uses less digits than its factorization.

1272179160252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1272179160252 in words is "one trillion, two hundred seventy-two billion, one hundred seventy-nine million, one hundred sixty thousand, two hundred fifty-two".