992990327121 has 189 divisors, whose sum is σ = 1722863456481. Its totient is φ = 571681753344.

The previous prime is 992990327113. The next prime is 992990327159. The reversal of 992990327121 is 121723099299.

The square root of 992990327121 is 996489.

It is a perfect power (a square), and thus also a powerful number.

992990327121 is a `hidden beast` number, since 9 + 9 + 299 + 0 + 327 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8966006721 + 984024320400 = 94689^2 + 991980^2 .

It is not a de Polignac number, because 992990327121 - 2³ = 992990327113 is a prime.

It is a super-4 number, since 4×992990327121⁴ (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (992990327221) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5946049780 + ... + 5946049946.

Almost surely, 2^992990327121 is an apocalyptic number.

992990327121 is the 996489-th square number.

992990327121 is the 498245-th centered octagonal number.

It is an amenable number.

992990327121 is a deficient number, since it is larger than the sum of its proper divisors (729873129360).

992990327121 is an equidigital number, since it uses as much as digits as its factorization.

992990327121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 992990327121 in words is "nine hundred ninety-two billion, nine hundred ninety million, three hundred twenty-seven thousand, one hundred twenty-one".