23120000 has 120 divisors (see below), whose sum is σ = 61140585. Its totient is φ = 8704000.

The previous prime is 23119973. The next prime is 23120029. The reversal of 23120000 is 2132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 3136 + 23116864 = 56^2 + 4808^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3400.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 23120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1359992 + ... + 1360008.

Almost surely, 2^23120000 is an apocalyptic number.

23120000 is a gapful number since it is divisible by the number (20) 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 23120000

23120000 is an abundant number, since it is smaller than the sum of its proper divisors (38020585).

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

23120000 is an frugal number, since it uses more digits than its factorization.

23120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 23120000 is about 4808.3261120685. The cubic root of 23120000 is about 284.8804258826.

Adding to 23120000 its reverse (2132), we get a palindrome (23122132).

The spelling of 23120000 in words is "twenty-three million, one hundred twenty thousand".