120367171008 has 672 divisors, whose sum is σ = 442896150528. Its totient is φ = 30457036800.

The previous prime is 120367170983. The next prime is 120367171009. The reversal of 120367171008 is 800171763021.

120367171008 is a `hidden beast` number, since 120 + 367 + 171 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120367171009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78619203 + ... + 78620733.

Almost surely, 2^120367171008 is an apocalyptic number.

120367171008 is a gapful number since it is divisible by the number (18) 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 120367171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221448075264).

120367171008 is an abundant number, since it is smaller than the sum of its proper divisors (322528979520).

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

120367171008 is a wasteful number, since it uses less digits than its factorization.

120367171008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 120367171008 in words is "one hundred twenty billion, three hundred sixty-seven million, one hundred seventy-one thousand, eight".