122166352 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 42301440.

The previous prime is 122166349. The next prime is 122166353. The reversal of 122166352 is 253661221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 122166352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122166353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397783 + ... + 398089.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^122166352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122166352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

122166352 is an abundant number, since it is smaller than the sum of its proper divisors (207812528).

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

122166352 is a wasteful number, since it uses less digits than its factorization.

122166352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 122166352 is about 11052.8888531460. Note that the first 4 decimals coincide. The cubic root of 122166352 is about 496.1928880379.

The spelling of 122166352 in words is "one hundred twenty-two million, one hundred sixty-six thousand, three hundred fifty-two".