12406245120 has 180 divisors, whose sum is σ = 44392184760. Its totient is φ = 3308304384.

The previous prime is 12406245107. The next prime is 12406245121. The reversal of 12406245120 is 2154260421.

12406245120 is a `hidden beast` number, since 1 + 2 + 406 + 245 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406245121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43851 + ... + 163509.

Almost surely, 2^12406245120 is an apocalyptic number.

12406245120 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 12406245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22196092380).

12406245120 is an abundant number, since it is smaller than the sum of its proper divisors (31985939640).

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

12406245120 is an equidigital number, since it uses as much as digits as its factorization.

12406245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119692 (or 119669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12406245120 in words is "twelve billion, four hundred six million, two hundred forty-five thousand, one hundred twenty".