67996697412121 has 9 divisors (see below), whose sum is σ = 68968479941599. Its totient is φ = 67038420227800.

The previous prime is 67996697412103. The next prime is 67996697412151. The reversal of 67996697412121 is 12121479669976.

The square root of 67996697412121 is 8246011.

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

It can be written as a sum of positive squares in only one way, i.e., 13661813123721 + 54334884288400 = 3696189^2 + 7371220^2 .

It is not a de Polignac number, because 67996697412121 - 2⁹ = 67996697411609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67996697412151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 585408711 + ... + 585524851.

Almost surely, 2^{67996697412121} is an apocalyptic number.

67996697412121 is the 8246011-st square number.

67996697412121 is the 4123006-th centered octagonal number.

It is an amenable number.

67996697412121 is a deficient number, since it is larger than the sum of its proper divisors (971782529478).

67996697412121 is an frugal number, since it uses more digits than its factorization.

67996697412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232424 (or 116212 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 70.

The spelling of 67996697412121 in words is "sixty-seven trillion, nine hundred ninety-six billion, six hundred ninety-seven million, four hundred twelve thousand, one hundred twenty-one".