122433120 has 288 divisors, whose sum is σ = 449100288. Its totient is φ = 31477248.

The previous prime is 122433107. The next prime is 122433121. The reversal of 122433120 is 21334221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122433093 and 122433102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122433121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1827327 + ... + 1827393.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^122433120 is an apocalyptic number.

122433120 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 122433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

122433120 is an abundant number, since it is smaller than the sum of its proper divisors (326667168).

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

122433120 is an equidigital number, since it uses as much as digits as its factorization.

122433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122433120 is about 11064.9500676686. The cubic root of 122433120 is about 496.5537952500.

Adding to 122433120 its reverse (21334221), we get a palindrome (143767341).

The spelling of 122433120 in words is "one hundred twenty-two million, four hundred thirty-three thousand, one hundred twenty".