126110863064352 has 192 divisors, whose sum is σ = 337477637952000. Its totient is φ = 41223157493760.

The previous prime is 126110863064327. The next prime is 126110863064359. The reversal of 126110863064352 is 253460368011621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (126110863064359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12487455399 + ... + 12487465497.

It is an arithmetic number, because the mean of its divisors is an integer number (1757696031000).

Almost surely, 2^{126110863064352} is an apocalyptic number.

126110863064352 is a gapful number since it is divisible by the number (12) 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 126110863064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168738818976000).

126110863064352 is an abundant number, since it is smaller than the sum of its proper divisors (211366774887648).

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

126110863064352 is a wasteful number, since it uses less digits than its factorization.

126110863064352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15359 (or 15351 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 126110863064352 in words is "one hundred twenty-six trillion, one hundred ten billion, eight hundred sixty-three million, sixty-four thousand, three hundred fifty-two".