188300421120 has 768 divisors, whose sum is σ = 767621836800. Its totient is φ = 38362152960.

The previous prime is 188300421119. The next prime is 188300421121. The reversal of 188300421120 is 21124003881.

It is an interprime number because it is at equal distance from previous prime (188300421119) and next prime (188300421121).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (188300421121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69456565 + ... + 69459275.

It is an arithmetic number, because the mean of its divisors is an integer number (999507600).

Almost surely, 2^188300421120 is an apocalyptic number.

188300421120 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 188300421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383810918400).

188300421120 is an abundant number, since it is smaller than the sum of its proper divisors (579321415680).

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

188300421120 is a wasteful number, since it uses less digits than its factorization.

188300421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 188300421120 in words is "one hundred eighty-eight billion, three hundred million, four hundred twenty-one thousand, one hundred twenty".