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120912480 = 25335132153
BaseRepresentation
bin1110011010011…
…11101001100000
322102111222202000
413031033221200
5221423144410
615555324000
72665511343
oct715175140
9272458660
10120912480
1162285377
12345b0600
131c086360
14120b645a
15a935dc0
hex734fa60

120912480 has 192 divisors, whose sum is σ = 455958720. Its totient is φ = 29749248.

The previous prime is 120912469. The next prime is 120912487. The reversal of 120912480 is 84219021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120912487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55084 + ... + 57236.

It is an arithmetic number, because the mean of its divisors is an integer number (2374785).

Almost surely, 2120912480 is an apocalyptic number.

120912480 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 120912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227979360).

120912480 is an abundant number, since it is smaller than the sum of its proper divisors (335046240).

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

120912480 is a wasteful number, since it uses less digits than its factorization.

120912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120912480 is about 10996.0210985611. The cubic root of 120912480 is about 494.4894644396.

It can be divided in two parts, 1209 and 12480, that added together give a square (13689 = 1172).

The spelling of 120912480 in words is "one hundred twenty million, nine hundred twelve thousand, four hundred eighty".