126801255000 has 320 divisors, whose sum is σ = 456765788160. Its totient is φ = 28723968000.

The previous prime is 126801254873. The next prime is 126801255011. The reversal of 126801255000 is 552108621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11859657 + ... + 11870343.

It is an arithmetic number, because the mean of its divisors is an integer number (1427393088).

Almost surely, 2^126801255000 is an apocalyptic number.

126801255000 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 126801255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228382894080).

126801255000 is an abundant number, since it is smaller than the sum of its proper divisors (329964533160).

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

126801255000 is a wasteful number, since it uses less digits than its factorization.

126801255000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 126801255000 in words is "one hundred twenty-six billion, eight hundred one million, two hundred fifty-five thousand".