181299966120 has 1024 divisors, whose sum is σ = 793497600000. Its totient is φ = 35751186432.

The previous prime is 181299966059. The next prime is 181299966121. The reversal of 181299966120 is 21669992181.

181299966120 is a `hidden beast` number, since 1 + 8 + 12 + 9 + 9 + 9 + 6 + 612 + 0 = 666.

It is a super-2 number, since 2×181299966120² (a number of 23 digits) contains 22 as substring.

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 (181299966121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147517666 + ... + 147518894.

It is an arithmetic number, because the mean of its divisors is an integer number (774900000).

Almost surely, 2^181299966120 is an apocalyptic number.

181299966120 is a gapful number since it is divisible by the number (10) 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 181299966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396748800000).

181299966120 is an abundant number, since it is smaller than the sum of its proper divisors (612197633880).

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

181299966120 is a wasteful number, since it uses less digits than its factorization.

181299966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 181299966120 in words is "one hundred eighty-one billion, two hundred ninety-nine million, nine hundred sixty-six thousand, one hundred twenty".