121612103125 has 72 divisors (see below), whose sum is σ = 163338842520. Its totient is φ = 90537920000.

The previous prime is 121612103111. The next prime is 121612103141. The reversal of 121612103125 is 521301216121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 36 ways, for example, as 32362930609 + 89249172516 = 179897^2 + 298746^2 .

It is not a de Polignac number, because 121612103125 - 2²¹ = 121610005973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 121612103125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1366428081 + ... + 1366428169.

It is an arithmetic number, because the mean of its divisors is an integer number (2268595035).

Almost surely, 2^121612103125 is an apocalyptic number.

It is an amenable number.

121612103125 is a deficient number, since it is larger than the sum of its proper divisors (41726739395).

121612103125 is an frugal number, since it uses more digits than its factorization.

121612103125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 121612103125 its reverse (521301216121), we get a palindrome (642913319246).

The spelling of 121612103125 in words is "one hundred twenty-one billion, six hundred twelve million, one hundred three thousand, one hundred twenty-five".