12253009920 has 192 divisors, whose sum is σ = 39456668160. Its totient is φ = 3246096384.

The previous prime is 12253009891. The next prime is 12253009927. The reversal of 12253009920 is 2990035221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253009927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5006137 + ... + 5008583.

It is an arithmetic number, because the mean of its divisors is an integer number (205503480).

Almost surely, 2^12253009920 is an apocalyptic number.

12253009920 is a gapful number since it is divisible by the number (10) 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 12253009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19728334080).

12253009920 is an abundant number, since it is smaller than the sum of its proper divisors (27203658240).

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

12253009920 is a wasteful number, since it uses less digits than its factorization.

12253009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 12253009920 in words is "twelve billion, two hundred fifty-three million, nine thousand, nine hundred twenty".