126407260300 has 144 divisors (see below), whose sum is σ = 290969189280. Its totient is φ = 47533824000.

The previous prime is 126407260271. The next prime is 126407260361. The reversal of 126407260300 is 3062704621.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242624040 + ... + 242624560.

It is an arithmetic number, because the mean of its divisors is an integer number (2020619370).

Almost surely, 2^126407260300 is an apocalyptic number.

126407260300 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 126407260300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145484594640).

126407260300 is an abundant number, since it is smaller than the sum of its proper divisors (164561928980).

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

126407260300 is a wasteful number, since it uses less digits than its factorization.

126407260300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 126407260300 its reverse (3062704621), we get a palindrome (129469964921).

The spelling of 126407260300 in words is "one hundred twenty-six billion, four hundred seven million, two hundred sixty thousand, three hundred".