8140121892 has 336 divisors, whose sum is σ = 26050124800. Its totient is φ = 2173003200.

The previous prime is 8140121863. The next prime is 8140121897. The reversal of 8140121892 is 2981210418.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8140121897) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53908017 + ... + 53908167.

Almost surely, 2^8140121892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140121892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025062400).

8140121892 is an abundant number, since it is smaller than the sum of its proper divisors (17910002908).

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

8140121892 is a wasteful number, since it uses less digits than its factorization.

8140121892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

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

The square root of 8140121892 is about 90222.6240584921. The cubic root of 8140121892 is about 2011.6093059530.

The spelling of 8140121892 in words is "eight billion, one hundred forty million, one hundred twenty-one thousand, eight hundred ninety-two".