122312720 has 40 divisors (see below), whose sum is σ = 294188760. Its totient is φ = 47237120.

The previous prime is 122312699. The next prime is 122312731. The reversal of 122312720 is 27213221.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 121264144 = 1024^2 + 11012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 122312692 and 122312701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24041 + ... + 28680.

It is an arithmetic number, because the mean of its divisors is an integer number (7354719).

Almost surely, 2^122312720 is an apocalyptic number.

122312720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312720 is an abundant number, since it is smaller than the sum of its proper divisors (171876040).

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

122312720 is a wasteful number, since it uses less digits than its factorization.

122312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52763 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 122312720 is about 11059.5081264946. The cubic root of 122312720 is about 496.3909725184.

Adding to 122312720 its reverse (27213221), we get a palindrome (149525941).

The spelling of 122312720 in words is "one hundred twenty-two million, three hundred twelve thousand, seven hundred twenty".