1225416145221 has 24 divisors (see below), whose sum is σ = 1787880403296. Its totient is φ = 808715426400.

The previous prime is 1225416145123. The next prime is 1225416145223.

1225416145221 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 416 + 14 + 5 + 221 = 666.

1225416145221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1225416145221 - 2¹⁴ = 1225416128837 is a prime.

It is a super-2 number, since 2×1225416145221² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225416145223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5270206 + ... + 5497808.

It is an arithmetic number, because the mean of its divisors is an integer number (74495016804).

Almost surely, 2^{1225416145221} is an apocalyptic number.

It is an amenable number.

1225416145221 is a deficient number, since it is larger than the sum of its proper divisors (562464258075).

1225416145221 is a wasteful number, since it uses less digits than its factorization.

1225416145221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233633 (or 233630 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 1225416145221 in words is "one trillion, two hundred twenty-five billion, four hundred sixteen million, one hundred forty-five thousand, two hundred twenty-one".