78001146120 has 128 divisors (see below), whose sum is σ = 249437952000. Its totient is φ = 19456070400.

The previous prime is 78001146107. The next prime is 78001146173. The reversal of 78001146120 is 2164110087.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36406 + ... + 396645.

It is an arithmetic number, because the mean of its divisors is an integer number (1948734000).

Almost surely, 2^78001146120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78001146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124718976000).

78001146120 is an abundant number, since it is smaller than the sum of its proper divisors (171436805880).

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

78001146120 is a wasteful number, since it uses less digits than its factorization.

78001146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433163 (or 433159 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 78001146120 in words is "seventy-eight billion, one million, one hundred forty-six thousand, one hundred twenty".