4612128011721 has 12 divisors (see below), whose sum is σ = 6753222447348. Its totient is φ = 3032632116864.

The previous prime is 4612128011591. The next prime is 4612128011741. The reversal of 4612128011721 is 1271108212164.

4612128011721 is a `hidden beast` number, since 4 + 612 + 1 + 2 + 8 + 0 + 1 + 17 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3819636363321 + 792491648400 = 1954389^2 + 890220^2 .

It is not a de Polignac number, because 4612128011721 - 2¹⁴ = 4612127995337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4612128011741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3509990220 + ... + 3509991533.

It is an arithmetic number, because the mean of its divisors is an integer number (562768537279).

Almost surely, 2^{4612128011721} is an apocalyptic number.

It is an amenable number.

4612128011721 is a deficient number, since it is larger than the sum of its proper divisors (2141094435627).

4612128011721 is a wasteful number, since it uses less digits than its factorization.

4612128011721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019981832 (or 7019981829 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 4612128011721 in words is "four trillion, six hundred twelve billion, one hundred twenty-eight million, eleven thousand, seven hundred twenty-one".