121547300953 has 16 divisors (see below), whose sum is σ = 133387203600. Its totient is φ = 110063775744.

The previous prime is 121547300947. The next prime is 121547300983. The reversal of 121547300953 is 359003745121.

It can be written as a sum of positive squares in 8 ways, for example, as 17813707024 + 103733593929 = 133468^2 + 322077^2 .

It is not a de Polignac number, because 121547300953 - 2²⁵ = 121513746521 is a prime.

It is a super-3 number, since 3×121547300953³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121547300933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7759273 + ... + 7774921.

It is an arithmetic number, because the mean of its divisors is an integer number (8336700225).

Almost surely, 2^121547300953 is an apocalyptic number.

121547300953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121547300953 is a deficient number, since it is larger than the sum of its proper divisors (11839902647).

121547300953 is a wasteful number, since it uses less digits than its factorization.

121547300953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26988.

The product of its (nonzero) digits is 113400, while the sum is 40.

It can be divided in two parts, 121547 and 300953, that added together give a square (422500 = 650²).

The spelling of 121547300953 in words is "one hundred twenty-one billion, five hundred forty-seven million, three hundred thousand, nine hundred fifty-three".