120712712100064 has 384 divisors, whose sum is σ = 294873384960000. Its totient is φ = 48455179960320.

The previous prime is 120712712099953. The next prime is 120712712100067. The reversal of 120712712100064 is 460001217217021.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120712712100067) 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 63 ways as a sum of consecutive naturals, for example, 36109095577 + ... + 36109098919.

It is an arithmetic number, because the mean of its divisors is an integer number (767899440000).

Almost surely, 2^{120712712100064} is an apocalyptic number.

120712712100064 is a gapful number since it is divisible by the number (14) 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 120712712100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147436692480000).

120712712100064 is an abundant number, since it is smaller than the sum of its proper divisors (174160672859936).

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

120712712100064 is a wasteful number, since it uses less digits than its factorization.

120712712100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

Adding to 120712712100064 its reverse (460001217217021), we get a palindrome (580713929317085).

The spelling of 120712712100064 in words is "one hundred twenty trillion, seven hundred twelve billion, seven hundred twelve million, one hundred thousand, sixty-four".