122820736 has 32 divisors (see below), whose sum is σ = 255326400. Its totient is φ = 58738944.

The previous prime is 122820697. The next prime is 122820739. The reversal of 122820736 is 637028221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 122820698 and 122820707.

It is not an unprimeable number, because it can be changed into a prime (122820739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17916 + ... + 23803.

It is an arithmetic number, because the mean of its divisors is an integer number (7978950).

Almost surely, 2^122820736 is an apocalyptic number.

122820736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122820736 is an abundant number, since it is smaller than the sum of its proper divisors (132505664).

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

122820736 is an equidigital number, since it uses as much as digits as its factorization.

122820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41756 (or 41744 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 122820736 is about 11082.4517143094. The cubic root of 122820736 is about 497.0772631751.

Adding to 122820736 its reverse (637028221), we get a palindrome (759848957).

The spelling of 122820736 in words is "one hundred twenty-two million, eight hundred twenty thousand, seven hundred thirty-six".