120643028352 has 768 divisors, whose sum is σ = 453662576640. Its totient is φ = 29859840000.

The previous prime is 120643028351. The next prime is 120643028371. The reversal of 120643028352 is 253820346021.

120643028352 is a `hidden beast` number, since 1 + 2 + 0 + 643 + 0 + 2 + 8 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120643028351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200736852 + ... + 200737452.

It is an arithmetic number, because the mean of its divisors is an integer number (590706480).

Almost surely, 2^120643028352 is an apocalyptic number.

120643028352 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 120643028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226831288320).

120643028352 is an abundant number, since it is smaller than the sum of its proper divisors (333019548288).

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

120643028352 is a wasteful number, since it uses less digits than its factorization.

120643028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 120643028352 in words is "one hundred twenty billion, six hundred forty-three million, twenty-eight thousand, three hundred fifty-two".