126010938144 has 96 divisors (see below), whose sum is σ = 407112289920. Its totient is φ = 33233651712.

The previous prime is 126010938121. The next prime is 126010938149. The reversal of 126010938144 is 441839010621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (126010938149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7203429 + ... + 7220900.

It is an arithmetic number, because the mean of its divisors is an integer number (4240753020).

Almost surely, 2^126010938144 is an apocalyptic number.

126010938144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126010938144 is an abundant number, since it is smaller than the sum of its proper divisors (281101351776).

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

126010938144 is a wasteful number, since it uses less digits than its factorization.

126010938144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14424362 (or 14424354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

Adding to 126010938144 its reverse (441839010621), we get a palindrome (567849948765).

The spelling of 126010938144 in words is "one hundred twenty-six billion, ten million, nine hundred thirty-eight thousand, one hundred forty-four".