1223265672 has 128 divisors (see below), whose sum is σ = 3595334400. Its totient is φ = 384569856.

The previous prime is 1223265671. The next prime is 1223265691. The reversal of 1223265672 is 2765623221.

It is a super-3 number, since 3×1223265672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1223265671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360978 + ... + 364350.

It is an arithmetic number, because the mean of its divisors is an integer number (28088550).

Almost surely, 2^1223265672 is an apocalyptic number.

1223265672 is a gapful number since it is divisible by the number (12) 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 1223265672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797667200).

1223265672 is an abundant number, since it is smaller than the sum of its proper divisors (2372068728).

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

1223265672 is a wasteful number, since it uses less digits than its factorization.

1223265672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3474 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1223265672 is about 34975.2151101319. The cubic root of 1223265672 is about 1069.4822871789.

Adding to 1223265672 its reverse (2765623221), we get a palindrome (3988888893).

The spelling of 1223265672 in words is "one billion, two hundred twenty-three million, two hundred sixty-five thousand, six hundred seventy-two".