997121002223311 has 48 divisors (see below), whose sum is σ = 1196269427808000. Its totient is φ = 828182609036160.

The previous prime is 997121002223293. The next prime is 997121002223329. The reversal of 997121002223311 is 113322200121799.

997121002223311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (997121002223293) and next prime (997121002223329).

It is not a de Polignac number, because 997121002223311 - 2⁹ = 997121002222799 is a prime.

It is a super-2 number, since 2×997121002223311² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997121006223311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300061200 + ... + 303366058.

It is an arithmetic number, because the mean of its divisors is an integer number (24922279746000).

Almost surely, 2^{997121002223311} is an apocalyptic number.

997121002223311 is a deficient number, since it is larger than the sum of its proper divisors (199148425584689).

997121002223311 is a wasteful number, since it uses less digits than its factorization.

997121002223311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305932 (or 3305925 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 997121002223311 in words is "nine hundred ninety-seven trillion, one hundred twenty-one billion, two million, two hundred twenty-three thousand, three hundred eleven".