42120221113200 has 240 divisors, whose sum is σ = 142085522908800. Its totient is φ = 10636470604800.

The previous prime is 42120221113153. The next prime is 42120221113259. The reversal of 42120221113200 is 231112202124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42120221113200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54587686 + ... + 55353914.

It is an arithmetic number, because the mean of its divisors is an integer number (592023012120).

Almost surely, 2^{42120221113200} is an apocalyptic number.

42120221113200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42120221113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71042761454400).

42120221113200 is an abundant number, since it is smaller than the sum of its proper divisors (99965301795600).

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

42120221113200 is a wasteful number, since it uses less digits than its factorization.

42120221113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768680 (or 768669 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42120221113200 its reverse (231112202124), we get a palindrome (42351333315324).

The spelling of 42120221113200 in words is "forty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred".