78212145120 has 96 divisors (see below), whose sum is σ = 253026916128. Its totient is φ = 20292876288.

The previous prime is 78212145049. The next prime is 78212145131. The reversal of 78212145120 is 2154121287.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78212145120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184159 + ... + 2219678.

It is an arithmetic number, because the mean of its divisors is an integer number (2635697043).

Almost surely, 2^78212145120 is an apocalyptic number.

It is an amenable number.

78212145120 is an abundant number, since it is smaller than the sum of its proper divisors (174814771008).

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

78212145120 is a wasteful number, since it uses less digits than its factorization.

78212145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403892 (or 4403884 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 78212145120 in words is "seventy-eight billion, two hundred twelve million, one hundred forty-five thousand, one hundred twenty".