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121013120 = 275238221
BaseRepresentation
bin1110011011010…
…00001110000000
322102201002210102
413031220032000
5221434404440
620001421532
72666410634
oct715501600
9272632712
10121013120
1162343a48
123463a8a8
131c0c00c7
1412100dc4
15a955b15
hex7368380

121013120 has 64 divisors (see below), whose sum is σ = 301911840. Its totient is φ = 46295040.

The previous prime is 121013117. The next prime is 121013131. The reversal of 121013120 is 21310121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 10610 + ... + 18830.

Almost surely, 2121013120 is an apocalyptic number.

121013120 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 121013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150955920).

121013120 is an abundant number, since it is smaller than the sum of its proper divisors (180898720).

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

121013120 is an equidigital number, since it uses as much as digits as its factorization.

121013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 121013120 is about 11000.5963474713. The cubic root of 121013120 is about 494.6266204466.

Adding to 121013120 its reverse (21310121), we get a palindrome (142323241).

The spelling of 121013120 in words is "one hundred twenty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 8221 14720 16442 32884 41105 65768 82210 131536 164420 189083 263072 328840 378166 526144 657680 756332 945415 1052288 1315360 1512664 1890830 2630720 3025328 3781660 5261440 6050656 7563320 12101312 15126640 24202624 30253280 60506560 121013120