126146560020 has 192 divisors, whose sum is σ = 394390321920. Its totient is φ = 29912666112.

The previous prime is 126146560013. The next prime is 126146560091. The reversal of 126146560020 is 20065641621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10331239 + ... + 10343441.

It is an arithmetic number, because the mean of its divisors is an integer number (2054116260).

Almost surely, 2^126146560020 is an apocalyptic number.

126146560020 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 126146560020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197195160960).

126146560020 is an abundant number, since it is smaller than the sum of its proper divisors (268243761900).

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

126146560020 is a wasteful number, since it uses less digits than its factorization.

126146560020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714 (or 12712 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 126146560020 in words is "one hundred twenty-six billion, one hundred forty-six million, five hundred sixty thousand, twenty".