121157923494976 has 63 divisors (see below), whose sum is σ = 241708827675231. Its totient is φ = 60256627605504.

The previous prime is 121157923494961. The next prime is 121157923495031. The reversal of 121157923494976 is 679494329751121.

The square root of 121157923494976 is 11007176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2238375054400 + 118919548440576 = 1496120^2 + 10905024^2 .

It is a super-2 number, since 2×121157923494976² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16995076180 + ... + 16995083308.

It is an arithmetic number, because the mean of its divisors is an integer number (3836648058337).

Almost surely, 2^{121157923494976} is an apocalyptic number.

121157923494976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121157923494976 is the 11007176-th square number.

It is an amenable number.

121157923494976 is a deficient number, since it is larger than the sum of its proper divisors (120550904180255).

121157923494976 is an frugal number, since it uses more digits than its factorization.

121157923494976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14656 (or 7324 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 70.

The spelling of 121157923494976 in words is "one hundred twenty-one trillion, one hundred fifty-seven billion, nine hundred twenty-three million, four hundred ninety-four thousand, nine hundred seventy-six".