1220525100041 has 16 divisors (see below), whose sum is σ = 1330994584080. Its totient is φ = 1112459166720.

The previous prime is 1220525099947. The next prime is 1220525100089. The reversal of 1220525100041 is 1400015250221.

It can be written as a sum of positive squares in 8 ways, for example, as 129868816 + 1220395231225 = 11396^2 + 1104715^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220525100041 - 2²⁶ = 1220457991177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220525180041) 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, 128501 + ... + 1567661.

It is an arithmetic number, because the mean of its divisors is an integer number (83187161505).

Almost surely, 2^{1220525100041} is an apocalyptic number.

It is an amenable number.

1220525100041 is a deficient number, since it is larger than the sum of its proper divisors (110469484039).

1220525100041 is a wasteful number, since it uses less digits than its factorization.

1220525100041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439996.

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 1220525100041 in words is "one trillion, two hundred twenty billion, five hundred twenty-five million, one hundred thousand, forty-one".