6121023984 has 80 divisors (see below), whose sum is σ = 17635255200. Its totient is φ = 2032717824.

The previous prime is 6121023977. The next prime is 6121024003. The reversal of 6121023984 is 4893201216.

6121023984 is a `hidden beast` number, since 612 + 1 + 0 + 2 + 39 + 8 + 4 = 666.

It is a super-2 number, since 2×6121023984² = 74933869225406464512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89872 + ... + 142544.

It is an arithmetic number, because the mean of its divisors is an integer number (220440690).

Almost surely, 2^6121023984 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 6121023984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817627600).

6121023984 is an abundant number, since it is smaller than the sum of its proper divisors (11514231216).

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

6121023984 is a wasteful number, since it uses less digits than its factorization.

6121023984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52959 (or 52947 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6121023984 is about 78236.9732543380. The cubic root of 6121023984 is about 1829.2568656938.

It can be divided in two parts, 612 and 1023984, that added together give a triangular number (1024596 = T₁₄₃₁).

The spelling of 6121023984 in words is "six billion, one hundred twenty-one million, twenty-three thousand, nine hundred eighty-four".