12406371936 has 288 divisors, whose sum is σ = 40228392960. Its totient is φ = 3328625664.

The previous prime is 12406371829. The next prime is 12406371937. The reversal of 12406371936 is 63917360421.

12406371936 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 2×12406371936² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406371937) by changing a digit.

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, 11350206 + ... + 11351298.

It is an arithmetic number, because the mean of its divisors is an integer number (139681920).

Almost surely, 2^12406371936 is an apocalyptic number.

12406371936 is a gapful number since it is divisible by the number (16) 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 12406371936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114196480).

12406371936 is an abundant number, since it is smaller than the sum of its proper divisors (27822021024).

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

12406371936 is a wasteful number, since it uses less digits than its factorization.

12406371936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 12406371936 in words is "twelve billion, four hundred six million, three hundred seventy-one thousand, nine hundred thirty-six".