126114864960 has 224 divisors, whose sum is σ = 459921254400. Its totient is φ = 28681095168.

The previous prime is 126114864943. The next prime is 126114864961. The reversal of 126114864960 is 69468411621.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126114864961) 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, 1290127 + ... + 1384433.

Almost surely, 2^126114864960 is an apocalyptic number.

126114864960 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 126114864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229960627200).

126114864960 is an abundant number, since it is smaller than the sum of its proper divisors (333806389440).

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

126114864960 is a wasteful number, since it uses less digits than its factorization.

126114864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94533 (or 94523 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 126114864960 in words is "one hundred twenty-six billion, one hundred fourteen million, eight hundred sixty-four thousand, nine hundred sixty".