12106638720 has 384 divisors, whose sum is σ = 46050919200. Its totient is φ = 2906357760.

The previous prime is 12106638697. The next prime is 12106638727. The reversal of 12106638720 is 2783660121.

12106638720 is a `hidden beast` number, since 1 + 2 + 10 + 6 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106638727) 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, 6905364 + ... + 6907116.

Almost surely, 2^12106638720 is an apocalyptic number.

12106638720 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 12106638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23025459600).

12106638720 is an abundant number, since it is smaller than the sum of its proper divisors (33944280480).

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

12106638720 is a wasteful number, since it uses less digits than its factorization.

12106638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12106638720 in words is "twelve billion, one hundred six million, six hundred thirty-eight thousand, seven hundred twenty".