126420000000 has 864 divisors, whose sum is σ = 500619030912. Its totient is φ = 28224000000.

The previous prime is 126419999987. The next prime is 126420000011. The reversal of 126420000000 is 24621.

126420000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2939999979 + ... + 2940000021.

Almost surely, 2^126420000000 is an apocalyptic number.

126420000000 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 126420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250309515456).

126420000000 is an abundant number, since it is smaller than the sum of its proper divisors (374199030912).

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

126420000000 is an frugal number, since it uses more digits than its factorization.

126420000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 126420000000 its reverse (24621), we get a palindrome (126420024621).

The spelling of 126420000000 in words is "one hundred twenty-six billion, four hundred twenty million", and thus it is an aban number.