126214016131200 has 768 divisors, whose sum is σ = 444161171865600. Its totient is φ = 31431493632000.

The previous prime is 126214016131193. The next prime is 126214016131211. The reversal of 126214016131200 is 2131610412621.

It is a super-2 number, since 2×126214016131200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27539604109 + ... + 27539608691.

It is an arithmetic number, because the mean of its divisors is an integer number (578334859200).

Almost surely, 2^{126214016131200} is an apocalyptic number.

126214016131200 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 126214016131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222080585932800).

126214016131200 is an abundant number, since it is smaller than the sum of its proper divisors (317947155734400).

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

126214016131200 is a wasteful number, since it uses less digits than its factorization.

126214016131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 126214016131200 its reverse (2131610412621), we get a palindrome (128345626543821).

The spelling of 126214016131200 in words is "one hundred twenty-six trillion, two hundred fourteen billion, sixteen million, one hundred thirty-one thousand, two hundred".