126881259120 has 960 divisors, whose sum is σ = 545419090944. Its totient is φ = 25672826880.

The previous prime is 126881259083. The next prime is 126881259121. The reversal of 126881259120 is 21952188621.

126881259120 is a `hidden beast` number, since 1 + 26 + 8 + 8 + 12 + 591 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126881259121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 433041694 + ... + 433041986.

Almost surely, 2^126881259120 is an apocalyptic number.

126881259120 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 126881259120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272709545472).

126881259120 is an abundant number, since it is smaller than the sum of its proper divisors (418537831824).

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

126881259120 is a wasteful number, since it uses less digits than its factorization.

126881259120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 126881259120 in words is "one hundred twenty-six billion, eight hundred eighty-one million, two hundred fifty-nine thousand, one hundred twenty".