8238121400 has 24 divisors (see below), whose sum is σ = 19153632720. Its totient is φ = 3295248480.

The previous prime is 8238121399. The next prime is 8238121429. The reversal of 8238121400 is 41218328.

It is a super-2 number, since 2×8238121400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20595104 + ... + 20595503.

It is an arithmetic number, because the mean of its divisors is an integer number (798068030).

Almost surely, 2^8238121400 is an apocalyptic number.

It is an amenable number.

8238121400 is an abundant number, since it is smaller than the sum of its proper divisors (10915511320).

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

8238121400 is a wasteful number, since it uses less digits than its factorization.

8238121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41190623 (or 41190614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8238121400 is about 90764.0975276017. The cubic root of 8238121400 is about 2019.6497611900.

Subtracting from 8238121400 its product of nonzero digits (3072), we obtain a palindrome (8238118328).

Adding to 8238121400 its reverse (41218328), we get a palindrome (8279339728).

The spelling of 8238121400 in words is "eight billion, two hundred thirty-eight million, one hundred twenty-one thousand, four hundred".