12112138469376 has 864 divisors, whose sum is σ = 40012299565056. Its totient is φ = 3630956544000.

The previous prime is 12112138469371. The next prime is 12112138469383. The reversal of 12112138469376 is 67396483121121.

12112138469376 is a `hidden beast` number, since 1 + 2 + 1 + 12 + 138 + 469 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112138469371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63414337441 + ... + 63414337631.

It is an arithmetic number, because the mean of its divisors is an integer number (46310531904).

Almost surely, 2^{12112138469376} is an apocalyptic number.

12112138469376 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 12112138469376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006149782528).

12112138469376 is an abundant number, since it is smaller than the sum of its proper divisors (27900161095680).

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

12112138469376 is an frugal number, since it uses more digits than its factorization.

12112138469376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 388 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 12112138469376 in words is "twelve trillion, one hundred twelve billion, one hundred thirty-eight million, four hundred sixty-nine thousand, three hundred seventy-six".