240133082112 has 1056 divisors, whose sum is σ = 913299738624. Its totient is φ = 61212672000.

The previous prime is 240133082107. The next prime is 240133082117. The reversal of 240133082112 is 211280331042.

240133082112 is a `hidden beast` number, since 240 + 1 + 3 + 308 + 2 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (240133082107) and next prime (240133082117).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (240133082117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1590285237 + ... + 1590285387.

Almost surely, 2^240133082112 is an apocalyptic number.

240133082112 is a gapful number since it is divisible by the number (22) 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 240133082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456649869312).

240133082112 is an abundant number, since it is smaller than the sum of its proper divisors (673166656512).

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

240133082112 is a wasteful number, since it uses less digits than its factorization.

240133082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 240133082112 in words is "two hundred forty billion, one hundred thirty-three million, eighty-two thousand, one hundred twelve".