113212434240 has 224 divisors, whose sum is σ = 410183746560. Its totient is φ = 29373954048.

The previous prime is 113212434229. The next prime is 113212434253. The reversal of 113212434240 is 42434212311.

113212434240 is a `hidden beast` number, since 1 + 13 + 212 + 434 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142609 + ... + 496751.

It is an arithmetic number, because the mean of its divisors is an integer number (1831177440).

Almost surely, 2^113212434240 is an apocalyptic number.

113212434240 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 113212434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205091873280).

113212434240 is an abundant number, since it is smaller than the sum of its proper divisors (296971312320).

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

113212434240 is a wasteful number, since it uses less digits than its factorization.

113212434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354206 (or 354190 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 113212434240 its reverse (42434212311), we get a palindrome (155646646551).

The spelling of 113212434240 in words is "one hundred thirteen billion, two hundred twelve million, four hundred thirty-four thousand, two hundred forty".