121697717904 has 135 divisors (see below), whose sum is σ = 396285653673. Its totient is φ = 34762404096.

The previous prime is 121697717887. The next prime is 121697717917. The reversal of 121697717904 is 409717796121.

It is a happy number.

The square root of 121697717904 is 348852.

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., 1460768400 + 120236949504 = 38220^2 + 346752^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29301492 + ... + 29305644.

Almost surely, 2^121697717904 is an apocalyptic number.

121697717904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121697717904 is the 348852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121697717904

121697717904 is an abundant number, since it is smaller than the sum of its proper divisors (274587935769).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121697717904 is an frugal number, since it uses more digits than its factorization.

121697717904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 121697717904 in words is "one hundred twenty-one billion, six hundred ninety-seven million, seven hundred seventeen thousand, nine hundred four".