126000000000 has 660 divisors, whose sum is σ = 519746040528. Its totient is φ = 28800000000.

The previous prime is 125999999969. The next prime is 126000000029. The reversal of 126000000000 is 621.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 17999999997 + ... + 18000000003.

Almost surely, 2^126000000000 is an apocalyptic number.

126000000000 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 126000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259873020264).

126000000000 is an abundant number, since it is smaller than the sum of its proper divisors (393746040528).

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

126000000000 is an frugal number, since it uses more digits than its factorization.

126000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 126000000000 its reverse (621), we get a palindrome (126000000621).

The spelling of 126000000000 in words is "one hundred twenty-six billion", and thus it is an aban number.