122294920 has 64 divisors (see below), whose sum is σ = 301320000. Its totient is φ = 44302080.

The previous prime is 122294897. The next prime is 122294947. The reversal of 122294920 is 29492221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219282 + ... + 219838.

It is an arithmetic number, because the mean of its divisors is an integer number (4708125).

Almost surely, 2^122294920 is an apocalyptic number.

122294920 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 122294920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150660000).

122294920 is an abundant number, since it is smaller than the sum of its proper divisors (179025080).

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

122294920 is a wasteful number, since it uses less digits than its factorization.

122294920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 122294920 is about 11058.7033597977. The cubic root of 122294920 is about 496.3668916543.

The spelling of 122294920 in words is "one hundred twenty-two million, two hundred ninety-four thousand, nine hundred twenty".