161012124000 has 1920 divisors, whose sum is σ = 750120763392. Its totient is φ = 32920473600.

The previous prime is 161012123981. The next prime is 161012124019. The reversal of 161012124000 is 421210161.

161012124000 is a `hidden beast` number, since 1 + 610 + 1 + 2 + 12 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161012123981) and next prime (161012124019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1267811937 + ... + 1267812063.

Almost surely, 2^161012124000 is an apocalyptic number.

161012124000 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 161012124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375060381696).

161012124000 is an abundant number, since it is smaller than the sum of its proper divisors (589108639392).

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

161012124000 is a wasteful number, since it uses less digits than its factorization.

161012124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

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

Adding to 161012124000 its reverse (421210161), we get a palindrome (161433334161).

The spelling of 161012124000 in words is "one hundred sixty-one billion, twelve million, one hundred twenty-four thousand".