12955341378000 has 960 divisors, whose sum is σ = 50310679910400. Its totient is φ = 2856784896000.

The previous prime is 12955341377989. The next prime is 12955341378041. The reversal of 12955341378000 is 87314355921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3180783964 + ... + 3180788036.

It is an arithmetic number, because the mean of its divisors is an integer number (52406958240).

Almost surely, 2^{12955341378000} is an apocalyptic number.

12955341378000 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 12955341378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155339955200).

12955341378000 is an abundant number, since it is smaller than the sum of its proper divisors (37355338532400).

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

12955341378000 is a wasteful number, since it uses less digits than its factorization.

12955341378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 12955341378000 in words is "twelve trillion, nine hundred fifty-five billion, three hundred forty-one million, three hundred seventy-eight thousand".