1242552523104 has 288 divisors, whose sum is σ = 3787208006400. Its totient is φ = 385257047040.

The previous prime is 1242552523099. The next prime is 1242552523111. The reversal of 1242552523104 is 4013252552421.

1242552523104 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 5 + 525 + 23 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 332854422 + ... + 332858154.

It is an arithmetic number, because the mean of its divisors is an integer number (13150027800).

Almost surely, 2^{1242552523104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242552523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893604003200).

1242552523104 is an abundant number, since it is smaller than the sum of its proper divisors (2544655483296).

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

1242552523104 is a wasteful number, since it uses less digits than its factorization.

1242552523104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1242552523104 in words is "one trillion, two hundred forty-two billion, five hundred fifty-two million, five hundred twenty-three thousand, one hundred four".