12101073408 has 320 divisors, whose sum is σ = 36963527040. Its totient is φ = 3956428800.

The previous prime is 12101073389. The next prime is 12101073427. The reversal of 12101073408 is 80437010121.

12101073408 is a `hidden beast` number, since 1 + 210 + 107 + 340 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12101073389) and next prime (12101073427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113094091 + ... + 113094197.

It is an arithmetic number, because the mean of its divisors is an integer number (115511022).

Almost surely, 2^12101073408 is an apocalyptic number.

12101073408 is a gapful number since it is divisible by the number (18) 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 12101073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481763520).

12101073408 is an abundant number, since it is smaller than the sum of its proper divisors (24862453632).

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

12101073408 is an frugal number, since it uses more digits than its factorization.

12101073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12101073408 its reverse (80437010121), we get a palindrome (92538083529).

The spelling of 12101073408 in words is "twelve billion, one hundred one million, seventy-three thousand, four hundred eight".