122146920 has 256 divisors, whose sum is σ = 472780800. Its totient is φ = 27475200.

The previous prime is 122146907. The next prime is 122146939. The reversal of 122146920 is 29641221.

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

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 63 ways as a sum of consecutive naturals, for example, 808845 + ... + 808995.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2^122146920 is an apocalyptic number.

122146920 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 122146920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

122146920 is an abundant number, since it is smaller than the sum of its proper divisors (350633880).

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

122146920 is a wasteful number, since it uses less digits than its factorization.

122146920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122146920 is about 11052.0097719827. The cubic root of 122146920 is about 496.1665781980.

The spelling of 122146920 in words is "one hundred twenty-two million, one hundred forty-six thousand, nine hundred twenty".