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121255120 = 2457293739
BaseRepresentation
bin1110011101000…
…11010011010000
322110011101202101
413032203103100
5222020130440
620010530144
73001436320
oct716432320
9273141671
10121255120
1162499848
1234736954
131c1762bc
1412165280
15a9a269a
hex73a34d0

121255120 has 80 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 41375232.

The previous prime is 121255111. The next prime is 121255171. The reversal of 121255120 is 21552121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163711 + ... + 164449.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2121255120 is an apocalyptic number.

121255120 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 121255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

121255120 is an abundant number, since it is smaller than the sum of its proper divisors (202474160).

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

121255120 is a wasteful number, since it uses less digits than its factorization.

121255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 121255120 is about 11011.5902575423. The cubic root of 121255120 is about 494.9561162334.

The spelling of 121255120 in words is "one hundred twenty-one million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 739 1172 1465 1478 2051 2344 2930 2956 3695 4102 4688 5173 5860 5912 7390 8204 10255 10346 11720 11824 14780 16408 20510 20692 23440 25865 29560 32816 41020 41384 51730 59120 82040 82768 103460 164080 206920 216527 413840 433054 866108 1082635 1515689 1732216 2165270 3031378 3464432 4330540 6062756 7578445 8661080 12125512 15156890 17322160 24251024 30313780 60627560 121255120