126381101280 has 384 divisors, whose sum is σ = 469381506048. Its totient is φ = 27979333632.

The previous prime is 126381101269. The next prime is 126381101291. The reversal of 126381101280 is 82101183621.

It is an interprime number because it is at equal distance from previous prime (126381101269) and next prime (126381101291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28964379 + ... + 28968741.

It is an arithmetic number, because the mean of its divisors is an integer number (1222347672).

Almost surely, 2^126381101280 is an apocalyptic number.

126381101280 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 126381101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234690753024).

126381101280 is an abundant number, since it is smaller than the sum of its proper divisors (343000404768).

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

126381101280 is a wasteful number, since it uses less digits than its factorization.

126381101280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 126381101280 in words is "one hundred twenty-six billion, three hundred eighty-one million, one hundred one thousand, two hundred eighty".