161295127812 has 288 divisors, whose sum is σ = 535812845568. Its totient is φ = 39742762752.

The previous prime is 161295127783. The next prime is 161295127831. The reversal of 161295127812 is 218721592161.

161295127812 is a `hidden beast` number, since 1 + 6 + 129 + 512 + 7 + 8 + 1 + 2 = 666.

It is a super-2 number, since 2×161295127812² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3215073 + ... + 3264855.

Almost surely, 2^161295127812 is an apocalyptic number.

161295127812 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 161295127812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267906422784).

161295127812 is an abundant number, since it is smaller than the sum of its proper divisors (374517717756).

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

161295127812 is a wasteful number, since it uses less digits than its factorization.

161295127812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49879 (or 49874 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 161295127812 in words is "one hundred sixty-one billion, two hundred ninety-five million, one hundred twenty-seven thousand, eight hundred twelve".