126830340000 has 1920 divisors, whose sum is σ = 595159488000. Its totient is φ = 25546752000.

The previous prime is 126830339981. The next prime is 126830340037. The reversal of 126830340000 is 43038621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1425059956 + ... + 1425060044.

It is an arithmetic number, because the mean of its divisors is an integer number (309978900).

Almost surely, 2^126830340000 is an apocalyptic number.

126830340000 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 126830340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297579744000).

126830340000 is an abundant number, since it is smaller than the sum of its proper divisors (468329148000).

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

126830340000 is a wasteful number, since it uses less digits than its factorization.

126830340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 126830340000 its reverse (43038621), we get a palindrome (126873378621).

The spelling of 126830340000 in words is "one hundred twenty-six billion, eight hundred thirty million, three hundred forty thousand".