120821760 has 384 divisors, whose sum is σ = 471744000. Its totient is φ = 29196288.

The previous prime is 120821759. The next prime is 120821791. The reversal of 120821760 is 67128021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253109 + ... + 5253131.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^120821760 is an apocalyptic number.

120821760 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 120821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

120821760 is an abundant number, since it is smaller than the sum of its proper divisors (350922240).

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

120821760 is a wasteful number, since it uses less digits than its factorization.

120821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120821760 is about 10991.8951960069. The cubic root of 120821760 is about 494.3657625457.

Adding to 120821760 its reverse (67128021), we get a palindrome (187949781).

The spelling of 120821760 in words is "one hundred twenty million, eight hundred twenty-one thousand, seven hundred sixty".