1225205250144 has 24 divisors (see below), whose sum is σ = 3216163781880. Its totient is φ = 408401750016.

The previous prime is 1225205250127. The next prime is 1225205250161. The reversal of 1225205250144 is 4410525025221.

It is an interprime number because it is at equal distance from previous prime (1225205250127) and next prime (1225205250161).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1225205250144² (a number of 25 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 6381277249 + ... + 6381277440.

It is an arithmetic number, because the mean of its divisors is an integer number (134006824245).

Almost surely, 2^{1225205250144} is an apocalyptic number.

It is an amenable number.

1225205250144 is an abundant number, since it is smaller than the sum of its proper divisors (1990958531736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1225205250144 is a wasteful number, since it uses less digits than its factorization.

1225205250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12762554702 (or 12762554694 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 1225205250144 in words is "one trillion, two hundred twenty-five billion, two hundred five million, two hundred fifty thousand, one hundred forty-four".