121783550625 has 315 divisors, whose sum is σ = 256244407573. Its totient is φ = 57790260000.

The previous prime is 121783550617. The next prime is 121783550633. The reversal of 121783550625 is 526055387121.

The square root of 121783550625 is 348975.

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

121783550625 is a `hidden beast` number, since 1 + 2 + 1 + 78 + 3 + 550 + 6 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (121783550617) and next prime (121783550633).

It can be written as a sum of positive squares in 2 ways, for example, as 9547830369 + 112235720256 = 97713^2 + 335016^2 .

It is not a de Polignac number, because 121783550625 - 2³ = 121783550617 is a prime.

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 314 ways as a sum of consecutive naturals, for example, 2591139352 + ... + 2591139398.

Almost surely, 2^121783550625 is an apocalyptic number.

121783550625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121783550625 is the 348975-th square number.

121783550625 is the 174488-th centered octagonal number.

It is an amenable number.

121783550625 is an abundant number, since it is smaller than the sum of its proper divisors (134460856948).

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

121783550625 is an frugal number, since it uses more digits than its factorization.

121783550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 121783550625 in words is "one hundred twenty-one billion, seven hundred eighty-three million, five hundred fifty thousand, six hundred twenty-five".