1278972385920 has 768 divisors, whose sum is σ = 4893589209600. Its totient is φ = 306158764032.

The previous prime is 1278972385907. The next prime is 1278972385961. The reversal of 1278972385920 is 295832798721.

1278972385920 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 9 + 7 + 2 + 38 + 592 + 0 = 666.

It is a super-3 number, since 3×1278972385920³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132835916 + ... + 1132837044.

It is an arithmetic number, because the mean of its divisors is an integer number (6371860950).

Almost surely, 2^{1278972385920} is an apocalyptic number.

1278972385920 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 1278972385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446794604800).

1278972385920 is an abundant number, since it is smaller than the sum of its proper divisors (3614616823680).

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

1278972385920 is a wasteful number, since it uses less digits than its factorization.

1278972385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1278972385920 in words is "one trillion, two hundred seventy-eight billion, nine hundred seventy-two million, three hundred eighty-five thousand, nine hundred twenty".