171412020 has 288 divisors, whose sum is σ = 616412160. Its totient is φ = 38154240.

The previous prime is 171412019. The next prime is 171412039. The reversal of 171412020 is 20214171.

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

It is a junction number, because it is equal to n+sod(n) for n = 171411984 and 171412002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233111 + ... + 1233249.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^171412020 is an apocalyptic number.

171412020 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 171412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

171412020 is an abundant number, since it is smaller than the sum of its proper divisors (445000140).

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

171412020 is a wasteful number, since it uses less digits than its factorization.

171412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 171412020 is about 13092.4413307832. The cubic root of 171412020 is about 555.4953454451.

Adding to 171412020 its reverse (20214171), we get a palindrome (191626191).

The spelling of 171412020 in words is "one hundred seventy-one million, four hundred twelve thousand, twenty".