120821456 has 60 divisors (see below), whose sum is σ = 286678080. Its totient is φ = 49049280.

The previous prime is 120821447. The next prime is 120821543. The reversal of 120821456 is 654128021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10841 + ... + 18951.

It is an arithmetic number, because the mean of its divisors is an integer number (4777968).

Almost surely, 2^120821456 is an apocalyptic number.

120821456 is a gapful number since it is divisible by the number (16) 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 120821456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339040).

120821456 is an abundant number, since it is smaller than the sum of its proper divisors (165856624).

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

120821456 is a wasteful number, since it uses less digits than its factorization.

120821456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 120821456 is about 10991.8813676277. The cubic root of 120821456 is about 494.3653479203.

Adding to 120821456 its reverse (654128021), we get a palindrome (774949477).

The spelling of 120821456 in words is "one hundred twenty million, eight hundred twenty-one thousand, four hundred fifty-six".