118122681600 has 648 divisors, whose sum is σ = 526542674112. Its totient is φ = 24544051200.

The previous prime is 118122681577. The next prime is 118122681659. The reversal of 118122681600 is 6186221811.

118122681600 is a `hidden beast` number, since 1 + 18 + 12 + 26 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4421884 + ... + 4448516.

Almost surely, 2^118122681600 is an apocalyptic number.

118122681600 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 118122681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263271337056).

118122681600 is an abundant number, since it is smaller than the sum of its proper divisors (408419992512).

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

118122681600 is a wasteful number, since it uses less digits than its factorization.

118122681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26683 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 118122681600 in words is "one hundred eighteen billion, one hundred twenty-two million, six hundred eighty-one thousand, six hundred".