6121028144 has 320 divisors, whose sum is σ = 16456089600. Its totient is φ = 2133734400.

The previous prime is 6121028107. The next prime is 6121028159. The reversal of 6121028144 is 4418201216.

6121028144 = 175² + 176² + ... + 2638².

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48197009 + ... + 48197135.

It is an arithmetic number, because the mean of its divisors is an integer number (51425280).

Almost surely, 2^6121028144 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 6121028144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228044800).

6121028144 is an abundant number, since it is smaller than the sum of its proper divisors (10335061456).

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

6121028144 is a wasteful number, since it uses less digits than its factorization.

6121028144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

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

The square root of 6121028144 is about 78236.9998402290. Note that the first 3 decimals coincide. The cubic root of 6121028144 is about 1829.2572800965.

The spelling of 6121028144 in words is "six billion, one hundred twenty-one million, twenty-eight thousand, one hundred forty-four".