12106268778240 has 3456 divisors, whose sum is σ = 57404703283200. Its totient is φ = 2387831685120.

The previous prime is 12106268778239. The next prime is 12106268778281. The reversal of 12106268778240 is 4287786260121.

12106268778240 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 626 + 8 + 7 + 7 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43082806900 + ... + 43082807180.

It is an arithmetic number, because the mean of its divisors is an integer number (16610157200).

Almost surely, 2^{12106268778240} is an apocalyptic number.

12106268778240 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 12106268778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28702351641600).

12106268778240 is an abundant number, since it is smaller than the sum of its proper divisors (45298434504960).

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

12106268778240 is a wasteful number, since it uses less digits than its factorization.

12106268778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 12106268778240 in words is "twelve trillion, one hundred six billion, two hundred sixty-eight million, seven hundred seventy-eight thousand, two hundred forty".