120209929752 has 256 divisors, whose sum is σ = 354274560000. Its totient is φ = 33604623360.

The previous prime is 120209929717. The next prime is 120209929753. The reversal of 120209929752 is 257929902021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120209929753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29908399 + ... + 29912417.

It is an arithmetic number, because the mean of its divisors is an integer number (1383885000).

Almost surely, 2^120209929752 is an apocalyptic number.

120209929752 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 120209929752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177137280000).

120209929752 is an abundant number, since it is smaller than the sum of its proper divisors (234064630248).

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

120209929752 is a wasteful number, since it uses less digits than its factorization.

120209929752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 120209929752 in words is "one hundred twenty billion, two hundred nine million, nine hundred twenty-nine thousand, seven hundred fifty-two".