12421902878784 has 1155 divisors, whose sum is σ = 44331485252397. Its totient is φ = 3453193078272.

The previous prime is 12421902878773. The next prime is 12421902878789. The reversal of 12421902878784 is 48787820912421.

The square root of 12421902878784 is 3524472.

It is a perfect power (a square), and thus also a powerful number.

12421902878784 is a `hidden beast` number, since 12 + 4 + 2 + 190 + 287 + 87 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11115289281600 + 1306613597184 = 3333960^2 + 1143072^2 .

It is a super-2 number, since 2×12421902878784² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12421902878789) by changing a digit.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 335727104814 + ... + 335727104850.

Almost surely, 2^{12421902878784} is an apocalyptic number.

12421902878784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12421902878784 is the 3524472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421902878784

12421902878784 is an abundant number, since it is smaller than the sum of its proper divisors (31909582373613).

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

12421902878784 is an frugal number, since it uses more digits than its factorization.

12421902878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 12421902878784 in words is "twelve trillion, four hundred twenty-one billion, nine hundred two million, eight hundred seventy-eight thousand, seven hundred eighty-four".