1197161908272 has 320 divisors, whose sum is σ = 3953443392000. Its totient is φ = 343033574400.

The previous prime is 1197161908231. The next prime is 1197161908279. The reversal of 1197161908272 is 2728091617911.

1197161908272 is a `hidden beast` number, since 1 + 19 + 7 + 1 + 619 + 0 + 8 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1197161908279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48833554 + ... + 48858062.

It is an arithmetic number, because the mean of its divisors is an integer number (12354510600).

Almost surely, 2^{1197161908272} is an apocalyptic number.

1197161908272 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 1197161908272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976721696000).

1197161908272 is an abundant number, since it is smaller than the sum of its proper divisors (2756281483728).

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

1197161908272 is a wasteful number, since it uses less digits than its factorization.

1197161908272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25097 (or 25085 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 1197161908272 in words is "one trillion, one hundred ninety-seven billion, one hundred sixty-one million, nine hundred eight thousand, two hundred seventy-two".