122541012653 has 16 divisors (see below), whose sum is σ = 124327787760. Its totient is φ = 120766464000.

The previous prime is 122541012647. The next prime is 122541012697. The reversal of 122541012653 is 356210145221.

It can be written as a sum of positive squares in 8 ways, for example, as 49931243209 + 72609769444 = 223453^2 + 269462^2 .

It is a cyclic number.

It is not a de Polignac number, because 122541012653 - 2¹⁶ = 122540947117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122541012053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36808493 + ... + 36811821.

It is an arithmetic number, because the mean of its divisors is an integer number (7770486735).

Almost surely, 2^122541012653 is an apocalyptic number.

It is an amenable number.

122541012653 is a deficient number, since it is larger than the sum of its proper divisors (1786775107).

122541012653 is a wasteful number, since it uses less digits than its factorization.

122541012653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 122541012653 its reverse (356210145221), we get a palindrome (478751157874).

The spelling of 122541012653 in words is "one hundred twenty-two billion, five hundred forty-one million, twelve thousand, six hundred fifty-three".