121919688900 has 243 divisors, whose sum is σ = 389341948359. Its totient is φ = 31911344640.

The previous prime is 121919688857. The next prime is 121919688923. The reversal of 121919688900 is 9886919121.

The square root of 121919688900 is 349170.

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

121919688900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62027894916 + 59891793984 = 249054^2 + 244728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1078935244 + ... + 1078935356.

Almost surely, 2^121919688900 is an apocalyptic number.

121919688900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121919688900 is the 349170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121919688900

121919688900 is an abundant number, since it is smaller than the sum of its proper divisors (267422259459).

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

121919688900 is a wasteful number, since it uses less digits than its factorization.

121919688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 121919688900 in words is "one hundred twenty-one billion, nine hundred nineteen million, six hundred eighty-eight thousand, nine hundred".