78124200000000 has 2880 divisors, whose sum is σ = 345262323225600. Its totient is φ = 15206400000000.

The previous prime is 78124199999987. The next prime is 78124200000013. The reversal of 78124200000000 is 242187.

78124200000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (78124199999987) and next prime (78124200000013).

It is a super-2 number, since 2×78124200000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 287 ways as a sum of consecutive naturals, for example, 877799999956 + ... + 877800000044.

It is an arithmetic number, because the mean of its divisors is an integer number (119882751120).

Almost surely, 2^{78124200000000} is an apocalyptic number.

78124200000000 is a gapful number since it is divisible by the number (70) 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 78124200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172631161612800).

78124200000000 is an abundant number, since it is smaller than the sum of its proper divisors (267138123225600).

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

78124200000000 is an frugal number, since it uses more digits than its factorization.

78124200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 78124200000000 its reverse (242187), we get a palindrome (78124200242187).

The spelling of 78124200000000 in words is "seventy-eight trillion, one hundred twenty-four billion, two hundred million", and thus it is an aban number.