126219878400 has 1536 divisors, whose sum is σ = 561692620800. Its totient is φ = 24222105600.

The previous prime is 126219878363. The next prime is 126219878401. The reversal of 126219878400 is 4878912621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126219878400.

It is not an unprimeable number, because it can be changed into a prime (126219878401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4352409586 + ... + 4352409614.

It is an arithmetic number, because the mean of its divisors is an integer number (365685300).

Almost surely, 2^126219878400 is an apocalyptic number.

126219878400 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 126219878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280846310400).

126219878400 is an abundant number, since it is smaller than the sum of its proper divisors (435472742400).

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

126219878400 is a wasteful number, since it uses less digits than its factorization.

126219878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 126219878400 in words is "one hundred twenty-six billion, two hundred nineteen million, eight hundred seventy-eight thousand, four hundred".