42122113200 has 360 divisors, whose sum is σ = 149100456960. Its totient is φ = 11009779200.

The previous prime is 42122113193. The next prime is 42122113207. The reversal of 42122113200 is 231122124.

It is a happy number.

42122113200 is a `hidden beast` number, since 421 + 2 + 211 + 32 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42122113193) and next prime (42122113207).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×42122113200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42122113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56998431 + ... + 56999169.

It is an arithmetic number, because the mean of its divisors is an integer number (414167936).

Almost surely, 2^42122113200 is an apocalyptic number.

42122113200 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 42122113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74550228480).

42122113200 is an abundant number, since it is smaller than the sum of its proper divisors (106978343760).

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

42122113200 is a wasteful number, since it uses less digits than its factorization.

42122113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42122113200 its reverse (231122124), we get a palindrome (42353235324).

The spelling of 42122113200 in words is "forty-two billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".