12267050257440 has 576 divisors, whose sum is σ = 47610523699200. Its totient is φ = 2947499089920.

The previous prime is 12267050257417. The next prime is 12267050257453. The reversal of 12267050257440 is 4475205076221.

12267050257440 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 70 + 5 + 0 + 2 + 574 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58963521 + ... + 59171199.

It is an arithmetic number, because the mean of its divisors is an integer number (82657159200).

Almost surely, 2^{12267050257440} is an apocalyptic number.

12267050257440 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 12267050257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23805261849600).

12267050257440 is an abundant number, since it is smaller than the sum of its proper divisors (35343473441760).

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

12267050257440 is a wasteful number, since it uses less digits than its factorization.

12267050257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207838 (or 207813 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 12267050257440 in words is "twelve trillion, two hundred sixty-seven billion, fifty million, two hundred fifty-seven thousand, four hundred forty".