116920240128 has 384 divisors, whose sum is σ = 372913632000. Its totient is φ = 36061839360.

The previous prime is 116920240103. The next prime is 116920240133. The reversal of 116920240128 is 821042029611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116920240092 and 116920240101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57340933 + ... + 57342971.

It is an arithmetic number, because the mean of its divisors is an integer number (971129250).

Almost surely, 2^116920240128 is an apocalyptic number.

116920240128 is a gapful number since it is divisible by the number (18) 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 116920240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816000).

116920240128 is an abundant number, since it is smaller than the sum of its proper divisors (255993391872).

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

116920240128 is a wasteful number, since it uses less digits than its factorization.

116920240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 116920240128 its reverse (821042029611), we get a palindrome (937962269739).

The spelling of 116920240128 in words is "one hundred sixteen billion, nine hundred twenty million, two hundred forty thousand, one hundred twenty-eight".