118077119049120 has 768 divisors, whose sum is σ = 466173658460160. Its totient is φ = 24405995520000.

The previous prime is 118077119049119. The next prime is 118077119049137. The reversal of 118077119049120 is 21940911770811.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7505052774 + ... + 7505068506.

It is an arithmetic number, because the mean of its divisors is an integer number (606996951120).

Almost surely, 2^{118077119049120} is an apocalyptic number.

118077119049120 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 118077119049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233086829230080).

118077119049120 is an abundant number, since it is smaller than the sum of its proper divisors (348096539411040).

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

118077119049120 is a wasteful number, since it uses less digits than its factorization.

118077119049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829 (or 16821 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 51.

The spelling of 118077119049120 in words is "one hundred eighteen trillion, seventy-seven billion, one hundred nineteen million, forty-nine thousand, one hundred twenty".