126042101200 has 240 divisors, whose sum is σ = 326157249600. Its totient is φ = 46664294400.

The previous prime is 126042101191. The next prime is 126042101203. The reversal of 126042101200 is 2101240621.

It is a super-2 number, since 2×126042101200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126042101203) by changing a digit.

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, 81159624 + ... + 81161176.

It is an arithmetic number, because the mean of its divisors is an integer number (1358988540).

Almost surely, 2^126042101200 is an apocalyptic number.

126042101200 is a gapful number since it is divisible by the number (10) 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 126042101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163078624800).

126042101200 is an abundant number, since it is smaller than the sum of its proper divisors (200115148400).

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

126042101200 is a wasteful number, since it uses less digits than its factorization.

126042101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 126042101200 its reverse (2101240621), we get a palindrome (128143341821).

The spelling of 126042101200 in words is "one hundred twenty-six billion, forty-two million, one hundred one thousand, two hundred".