42252205012000 has 96 divisors (see below), whose sum is σ = 105573221994240. Its totient is φ = 16614426284800.

The previous prime is 42252205011923. The next prime is 42252205012111. The reversal of 42252205012000 is 21050225224.

42252205012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89281384 + ... + 89753383.

It is an arithmetic number, because the mean of its divisors is an integer number (1099721062440).

Almost surely, 2^{42252205012000} is an apocalyptic number.

42252205012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42252205012000 is an abundant number, since it is smaller than the sum of its proper divisors (63321016982240).

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

42252205012000 is a wasteful number, since it uses less digits than its factorization.

42252205012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179034851 (or 179034833 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 42252205012000 its reverse (21050225224), we get a palindrome (42273255237224).

The spelling of 42252205012000 in words is "forty-two trillion, two hundred fifty-two billion, two hundred five million, twelve thousand".