122400768 has 104 divisors (see below), whose sum is σ = 373247488. Its totient is φ = 34947072.

The previous prime is 122400763. The next prime is 122400791. The reversal of 122400768 is 867004221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85305 + ... + 86727.

Almost surely, 2^122400768 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 122400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186623744).

122400768 is an abundant number, since it is smaller than the sum of its proper divisors (250846720).

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

122400768 is an equidigital number, since it uses as much as digits as its factorization.

122400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 122400768 is about 11063.4880575703. The cubic root of 122400768 is about 496.5100545705.

Adding to 122400768 its reverse (867004221), we get a palindrome (989404989).

The spelling of 122400768 in words is "one hundred twenty-two million, four hundred thousand, seven hundred sixty-eight".