6121135840 has 48 divisors (see below), whose sum is σ = 14575099392. Its totient is φ = 2429167104.

The previous prime is 6121135831. The next prime is 6121135859. The reversal of 6121135840 is 485311216.

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 7 ways as a sum of consecutive naturals, for example, 130299 + ... + 170938.

It is an arithmetic number, because the mean of its divisors is an integer number (303647904).

Almost surely, 2^6121135840 is an apocalyptic number.

It is an amenable number.

6121135840 is an abundant number, since it is smaller than the sum of its proper divisors (8453963552).

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

6121135840 is a wasteful number, since it uses less digits than its factorization.

6121135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301379 (or 301371 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 6121135840 is about 78237.6881049025. The cubic root of 6121135840 is about 1829.2680082798.

The spelling of 6121135840 in words is "six billion, one hundred twenty-one million, one hundred thirty-five thousand, eight hundred forty".