126954324000 has 768 divisors, whose sum is σ = 530818928640. Its totient is φ = 28870732800.

The previous prime is 126954323999. The next prime is 126954324097. The reversal of 126954324000 is 423459621.

It is a happy number.

126954324000 is a `hidden beast` number, since 12 + 69 + 543 + 2 + 40 + 0 + 0 = 666.

126954324000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126954324000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232091727 + ... + 232092273.

It is an arithmetic number, because the mean of its divisors is an integer number (691170480).

Almost surely, 2^126954324000 is an apocalyptic number.

126954324000 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 126954324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265409464320).

126954324000 is an abundant number, since it is smaller than the sum of its proper divisors (403864604640).

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

126954324000 is a wasteful number, since it uses less digits than its factorization.

126954324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 126954324000 in words is "one hundred twenty-six billion, nine hundred fifty-four million, three hundred twenty-four thousand".