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121055744 = 292931263
BaseRepresentation
bin1110011011100…
…10101000000000
322102210021021002
413031302220000
5221442240434
620002351132
72666646125
oct715625000
9272707232
10121055744
1162372a77
123465b4a8
131c106624
141211274c
15a96357e
hex7372a00

121055744 has 80 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 56340480.

The previous prime is 121055743. The next prime is 121055747. The reversal of 121055744 is 447550121.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (121055741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460157 + ... + 460419.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2121055744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

121055744 is an abundant number, since it is smaller than the sum of its proper divisors (138213376).

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

121055744 is an equidigital number, since it uses as much as digits as its factorization.

121055744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 121055744 is about 11002.5335264202. The cubic root of 121055744 is about 494.6846871263.

The spelling of 121055744 in words is "one hundred twenty-one million, fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 263 464 496 512 526 899 928 992 1052 1798 1856 1984 2104 3596 3712 3968 4208 7192 7424 7627 7936 8153 8416 14384 14848 15254 15872 16306 16832 28768 30508 32612 33664 57536 61016 65224 67328 115072 122032 130448 134656 230144 236437 244064 260896 460288 472874 488128 521792 945748 976256 1043584 1891496 1952512 2087168 3782992 3905024 4174336 7565984 15131968 30263936 60527872 121055744