168101205120 has 640 divisors, whose sum is σ = 641231078400. Its totient is φ = 41873448960.

The previous prime is 168101205079. The next prime is 168101205161. The reversal of 168101205120 is 21502101861.

168101205120 is a `hidden beast` number, since 16 + 8 + 10 + 120 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (168101205079) and next prime (168101205161).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46602357 + ... + 46605963.

It is an arithmetic number, because the mean of its divisors is an integer number (1001923560).

Almost surely, 2^168101205120 is an apocalyptic number.

168101205120 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 168101205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320615539200).

168101205120 is an abundant number, since it is smaller than the sum of its proper divisors (473129873280).

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

168101205120 is a wasteful number, since it uses less digits than its factorization.

168101205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 168101205120 its reverse (21502101861), we get a palindrome (189603306981).

The spelling of 168101205120 in words is "one hundred sixty-eight billion, one hundred one million, two hundred five thousand, one hundred twenty".