42122531250 has 294 divisors, whose sum is σ = 121231788057. Its totient is φ = 10971450000.

The previous prime is 42122531237. The next prime is 42122531263. The reversal of 42122531250 is 5213522124.

42122531250 is a `hidden beast` number, since 4 + 2 + 122 + 531 + 2 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42122531237) and next prime (42122531263).

It can be written as a sum of positive squares in 4 ways, for example, as 7183071009 + 34939460241 = 84753^2 + 186921^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145125.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 979593729 + ... + 979593771.

Almost surely, 2^42122531250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122531250

42122531250 is an abundant number, since it is smaller than the sum of its proper divisors (79109256807).

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

42122531250 is an frugal number, since it uses more digits than its factorization.

42122531250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 42122531250 in words is "forty-two billion, one hundred twenty-two million, five hundred thirty-one thousand, two hundred fifty".