12211151040 has 336 divisors, whose sum is σ = 48233502720. Its totient is φ = 2804336640.

The previous prime is 12211151027. The next prime is 12211151077. The reversal of 12211151040 is 4015111221.

12211151040 is a `hidden beast` number, since 1 + 2 + 2 + 111 + 510 + 40 = 666.

12211151040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12211151040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 591777 + ... + 612063.

Almost surely, 2^12211151040 is an apocalyptic number.

12211151040 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 12211151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24116751360).

12211151040 is an abundant number, since it is smaller than the sum of its proper divisors (36022351680).

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

12211151040 is a wasteful number, since it uses less digits than its factorization.

12211151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340 (or 20327 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12211151040 its reverse (4015111221), we get a palindrome (16226262261).

The spelling of 12211151040 in words is "twelve billion, two hundred eleven million, one hundred fifty-one thousand, forty".