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120327482880 = 293451171743
BaseRepresentation
bin111000000010000010…
…0111010111000000000
3102111120211101110120000
41300010010322320000
53432412313423010
6131135551320000
711456553504663
oct1600404727000
9374524343500
10120327482880
11470377aa930
121b3a1520000
13b467cb8517
145b76a316da
1531e3ae27c0
hex1c0413ae00

120327482880 has 800 divisors, whose sum is σ = 477418157568. Its totient is φ = 28720742400.

The previous prime is 120327482843. The next prime is 120327482881. The reversal of 120327482880 is 88284723021.

120327482880 is a `hidden beast` number, since 1 + 2 + 0 + 327 + 48 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120327482881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161947789 + ... + 161948531.

Almost surely, 2120327482880 is an apocalyptic number.

120327482880 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 120327482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238709078784).

120327482880 is an abundant number, since it is smaller than the sum of its proper divisors (357090674688).

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

120327482880 is an equidigital number, since it uses as much as digits as its factorization.

120327482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 120327482880 in words is "one hundred twenty billion, three hundred twenty-seven million, four hundred eighty-two thousand, eight hundred eighty".