126479707200 has 1344 divisors, whose sum is σ = 587790950400. Its totient is φ = 25690521600.

The previous prime is 126479707181. The next prime is 126479707213. The reversal of 126479707200 is 2707974621.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 156340396 + ... + 156341204.

Almost surely, 2^126479707200 is an apocalyptic number.

126479707200 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 126479707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293895475200).

126479707200 is an abundant number, since it is smaller than the sum of its proper divisors (461311243200).

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

126479707200 is a wasteful number, since it uses less digits than its factorization.

126479707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 126479707200 in words is "one hundred twenty-six billion, four hundred seventy-nine million, seven hundred seven thousand, two hundred".