116221248000 has 1920 divisors, whose sum is σ = 526992770304. Its totient is φ = 24182784000.

The previous prime is 116221247959. The next prime is 116221248001. The reversal of 116221248000 is 842122611.

116221248000 is a `hidden beast` number, since 1 + 162 + 21 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (116221248001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1400255959 + ... + 1400256041.

Almost surely, 2^116221248000 is an apocalyptic number.

116221248000 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 116221248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263496385152).

116221248000 is an abundant number, since it is smaller than the sum of its proper divisors (410771522304).

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

116221248000 is a wasteful number, since it uses less digits than its factorization.

116221248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 116221248000 in words is "one hundred sixteen billion, two hundred twenty-one million, two hundred forty-eight thousand".