12030258240 has 1344 divisors, whose sum is σ = 57831045120. Its totient is φ = 2285936640.

The previous prime is 12030258211. The next prime is 12030258259. The reversal of 12030258240 is 4285203021.

12030258240 is a `hidden beast` number, since 12 + 0 + 30 + 2 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×12030258240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112432267 + ... + 112432373.

Almost surely, 2^12030258240 is an apocalyptic number.

12030258240 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 12030258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28915522560).

12030258240 is an abundant number, since it is smaller than the sum of its proper divisors (45800786880).

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

12030258240 is a wasteful number, since it uses less digits than its factorization.

12030258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

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

The spelling of 12030258240 in words is "twelve billion, thirty million, two hundred fifty-eight thousand, two hundred forty".