120521205420 has 576 divisors, whose sum is σ = 442115186688. Its totient is φ = 23985561600.

The previous prime is 120521205419. The next prime is 120521205443. The reversal of 120521205420 is 24502125021.

It is a super-4 number, since 4×120521205420⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178022122 + ... + 178022798.

It is an arithmetic number, because the mean of its divisors is an integer number (767561088).

Almost surely, 2^120521205420 is an apocalyptic number.

120521205420 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 120521205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221057593344).

120521205420 is an abundant number, since it is smaller than the sum of its proper divisors (321593981268).

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

120521205420 is a wasteful number, since it uses less digits than its factorization.

120521205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 120521205420 in words is "one hundred twenty billion, five hundred twenty-one million, two hundred five thousand, four hundred twenty".