6211121128128 has 448 divisors, whose sum is σ = 21148925952000. Its totient is φ = 1750756819968.

The previous prime is 6211121128111. The next prime is 6211121128231. The reversal of 6211121128128 is 8218211211126.

6211121128128 is a `hidden beast` number, since 621 + 1 + 1 + 2 + 1 + 1 + 2 + 8 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6211121128092 and 6211121128101.

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, 2139551125 + ... + 2139554027.

It is an arithmetic number, because the mean of its divisors is an integer number (47207424000).

Almost surely, 2^{6211121128128} 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 6211121128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574462976000).

6211121128128 is an abundant number, since it is smaller than the sum of its proper divisors (14937804823872).

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

6211121128128 is a wasteful number, since it uses less digits than its factorization.

6211121128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5233 counting only the distinct ones).

The product of its digits is 6144, while the sum is 36.

The spelling of 6211121128128 in words is "six trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-eight thousand, one hundred twenty-eight".