40122142112 has 96 divisors (see below), whose sum is σ = 87591130704. Its totient is φ = 17973043200.

The previous prime is 40122142043. The next prime is 40122142121. The reversal of 40122142112 is 21124122104.

It can be written as a sum of positive squares in 8 ways, for example, as 9400465936 + 30721676176 = 96956^2 + 175276^2 .

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 15 ways as a sum of consecutive naturals, for example, 3354062 + ... + 3366002.

Almost surely, 2^40122142112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43795565352).

40122142112 is an abundant number, since it is smaller than the sum of its proper divisors (47468988592).

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

40122142112 is a wasteful number, since it uses less digits than its factorization.

40122142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 40122142112 its reverse (21124122104), we get a palindrome (61246264216).

The spelling of 40122142112 in words is "forty billion, one hundred twenty-two million, one hundred forty-two thousand, one hundred twelve".