121563795600 has 675 divisors, whose sum is σ = 475616383473. Its totient is φ = 29722567680.

The previous prime is 121563795583. The next prime is 121563795643. The reversal of 121563795600 is 6597365121.

The square root of 121563795600 is 348660.

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

121563795600 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 37 + 9 + 5 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 117531037584 + 4032758016 = 342828^2 + 63504^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 815864326 + ... + 815864474.

Almost surely, 2^121563795600 is an apocalyptic number.

121563795600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121563795600 is the 348660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121563795600

121563795600 is an abundant number, since it is smaller than the sum of its proper divisors (354052587873).

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

121563795600 is a wasteful number, since it uses less digits than its factorization.

121563795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 121563795600 in words is "one hundred twenty-one billion, five hundred sixty-three million, seven hundred ninety-five thousand, six hundred".