38121724230912 has 1152 divisors, whose sum is σ = 133904042496000. Its totient is φ = 10605283540992.

The previous prime is 38121724230901. The next prime is 38121724230923. The reversal of 38121724230912 is 21903242712183.

38121724230912 is a `hidden beast` number, since 3 + 8 + 1 + 217 + 2 + 423 + 0 + 9 + 1 + 2 = 666.

38121724230912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38121724230901) and next prime (38121724230923).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26128665639 + ... + 26128667097.

It is an arithmetic number, because the mean of its divisors is an integer number (116236148000).

Almost surely, 2^{38121724230912} is an apocalyptic number.

38121724230912 is a gapful number since it is divisible by the number (32) 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 38121724230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66952021248000).

38121724230912 is an abundant number, since it is smaller than the sum of its proper divisors (95782318265088).

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

38121724230912 is an equidigital number, since it uses as much as digits as its factorization.

38121724230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38121724230912 in words is "thirty-eight trillion, one hundred twenty-one billion, seven hundred twenty-four million, two hundred thirty thousand, nine hundred twelve".