11212505040 has 160 divisors (see below), whose sum is σ = 40149323136. Its totient is φ = 2558279680.

The previous prime is 11212505027. The next prime is 11212505063. The reversal of 11212505040 is 4050521211.

11212505040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11212504998 and 11212505016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80037 + ... + 169796.

Almost surely, 2^11212505040 is an apocalyptic number.

11212505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212505040 is an abundant number, since it is smaller than the sum of its proper divisors (28936818096).

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

11212505040 is a wasteful number, since it uses less digits than its factorization.

11212505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249877 (or 249871 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 11212505040 in words is "eleven billion, two hundred twelve million, five hundred five thousand, forty".