121780060900 has 27 divisors (see below), whose sum is σ = 264270305019. Its totient is φ = 48710628480.

The previous prime is 121780060849. The next prime is 121780060907. The reversal of 121780060900 is 9060087121.

It is a happy number.

The square root of 121780060900 is 348970.

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 55096295076 + 66683765824 = 234726^2 + 258232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121780060907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3472252 + ... + 3507148.

Almost surely, 2^121780060900 is an apocalyptic number.

121780060900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121780060900 is the 348970-th square number.

It is an amenable number.

121780060900 is an abundant number, since it is smaller than the sum of its proper divisors (142490244119).

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

121780060900 is an frugal number, since it uses more digits than its factorization.

121780060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69808 (or 34904 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 121780060900 in words is "one hundred twenty-one billion, seven hundred eighty million, sixty thousand, nine hundred".