6129601128 has 320 divisors, whose sum is σ = 20236930560. Its totient is φ = 1704390336.

The previous prime is 6129601117. The next prime is 6129601171. The reversal of 6129601128 is 8211069216.

6129601128 is a `hidden beast` number, since 6 + 1 + 29 + 601 + 1 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6129601092 and 6129601101.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73850575 + ... + 73850657.

It is an arithmetic number, because the mean of its divisors is an integer number (63240408).

Almost surely, 2^6129601128 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 6129601128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118465280).

6129601128 is an abundant number, since it is smaller than the sum of its proper divisors (14107329432).

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

6129601128 is an frugal number, since it uses more digits than its factorization.

6129601128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 6129601128 is about 78291.7692225690. The cubic root of 6129601128 is about 1830.1108882014.

The spelling of 6129601128 in words is "six billion, one hundred twenty-nine million, six hundred one thousand, one hundred twenty-eight".