166122000 has 240 divisors, whose sum is σ = 633709440. Its totient is φ = 40224000.

The previous prime is 166121987. The next prime is 166122013. The reversal of 166122000 is 221661.

It is a happy number.

166122000 is a `hidden beast` number, since 1 + 661 + 2 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166121987) and next prime (166122013).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 197581 + ... + 198419.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2^166122000 is an apocalyptic number.

166122000 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 166122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854720).

166122000 is an abundant number, since it is smaller than the sum of its proper divisors (467587440).

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

166122000 is a wasteful number, since it uses less digits than its factorization.

166122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 166122000 is about 12888.8323753550. The cubic root of 166122000 is about 549.7210706877.

Adding to 166122000 its reverse (221661), we get a palindrome (166343661).

The spelling of 166122000 in words is "one hundred sixty-six million, one hundred twenty-two thousand".