122462120 has 64 divisors (see below), whose sum is σ = 313683840. Its totient is φ = 42592000.

The previous prime is 122462117. The next prime is 122462129. The reversal of 122462120 is 21264221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122462092 and 122462101.

It is not an unprimeable number, because it can be changed into a prime (122462129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4070 + ... + 16170.

It is an arithmetic number, because the mean of its divisors is an integer number (4901310).

Almost surely, 2^122462120 is an apocalyptic number.

122462120 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 122462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156841920).

122462120 is an abundant number, since it is smaller than the sum of its proper divisors (191221720).

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

122462120 is a wasteful number, since it uses less digits than its factorization.

122462120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122462120 is about 11066.2604343111. The cubic root of 122462120 is about 496.5929973963.

The spelling of 122462120 in words is "one hundred twenty-two million, four hundred sixty-two thousand, one hundred twenty".