42222010301300 has 288 divisors, whose sum is σ = 101868470000640. Its totient is φ = 15143063040000.

The previous prime is 42222010301299. The next prime is 42222010301309. The reversal of 42222010301300 is 310301022224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222010301309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224746007 + ... + 224933793.

It is an arithmetic number, because the mean of its divisors is an integer number (353709965280).

Almost surely, 2^{42222010301300} 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 42222010301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50934235000320).

42222010301300 is an abundant number, since it is smaller than the sum of its proper divisors (59646459699340).

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

42222010301300 is a wasteful number, since it uses less digits than its factorization.

42222010301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187963 (or 187956 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42222010301300 its reverse (310301022224), we get a palindrome (42532311323524).

The spelling of 42222010301300 in words is "forty-two trillion, two hundred twenty-two billion, ten million, three hundred one thousand, three hundred".