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121218048 = 2103271879
BaseRepresentation
bin1110011100110…
…10010000000000
322110002111220100
413032122100000
5222012434143
620010042400
73001223250
oct716322000
9273074810
10121218048
1162473a06
1234719400
131c162473
1412155960
15a9966d3
hex739a400

121218048 has 132 divisors (see below), whose sum is σ = 400229440. Its totient is φ = 34615296.

The previous prime is 121217983. The next prime is 121218059. The reversal of 121218048 is 840812121.

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, 63573 + ... + 65451.

Almost surely, 2121218048 is an apocalyptic number.

121218048 is a gapful number since it is divisible by the number (18) 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 121218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200114720).

121218048 is an abundant number, since it is smaller than the sum of its proper divisors (279011392).

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

121218048 is a wasteful number, since it uses less digits than its factorization.

121218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 121218048 is about 11009.9068115947. The cubic root of 121218048 is about 494.9056691996.

The spelling of 121218048 in words is "one hundred twenty-one million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 1879 2016 2304 2688 3072 3584 3758 4032 4608 5376 5637 7168 7516 8064 9216 10752 11274 13153 15032 16128 16911 21504 22548 26306 30064 32256 33822 39459 45096 52612 60128 64512 67644 78918 90192 105224 118377 120256 135288 157836 180384 210448 236754 240512 270576 315672 360768 420896 473508 481024 541152 631344 721536 841792 947016 962048 1082304 1262688 1443072 1683584 1894032 1924096 2164608 2525376 2886144 3367168 3788064 4329216 5050752 5772288 6734336 7576128 8658432 10101504 13468672 15152256 17316864 20203008 30304512 40406016 60609024 121218048