161004121200 has 720 divisors, whose sum is σ = 637505197056. Its totient is φ = 38774246400.

The previous prime is 161004121193. The next prime is 161004121207. The reversal of 161004121200 is 2121400161.

161004121200 is a `hidden beast` number, since 1 + 610 + 0 + 41 + 2 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161004121193) and next prime (161004121207).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161004121207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59387845 + ... + 59390555.

Almost surely, 2^161004121200 is an apocalyptic number.

161004121200 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 161004121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318752598528).

161004121200 is an abundant number, since it is smaller than the sum of its proper divisors (476501075856).

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

161004121200 is a wasteful number, since it uses less digits than its factorization.

161004121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 161004121200 its reverse (2121400161), we get a palindrome (163125521361).

The spelling of 161004121200 in words is "one hundred sixty-one billion, four million, one hundred twenty-one thousand, two hundred".