20120168429760 has 336 divisors, whose sum is σ = 76123648026720. Its totient is φ = 4486727024640.

The previous prime is 20120168429731. The next prime is 20120168429761. The reversal of 20120168429760 is 6792486102102.

It is a tau number, because it is divible by the number of its divisors (336).

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 (20120168429761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3287515 + ... + 7144794.

It is an arithmetic number, because the mean of its divisors is an integer number (226558476270).

Almost surely, 2^{20120168429760} is an apocalyptic number.

20120168429760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120168429760 is an abundant number, since it is smaller than the sum of its proper divisors (56003479596960).

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

20120168429760 is a wasteful number, since it uses less digits than its factorization.

20120168429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432384 (or 10432367 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 20120168429760 in words is "twenty trillion, one hundred twenty billion, one hundred sixty-eight million, four hundred twenty-nine thousand, seven hundred sixty".