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121274061920 = 25511153145007
BaseRepresentation
bin111000011110001111…
…1110101010001100000
3102121000210112122212222
41300330133311101200
53441332124440140
6131413524010212
711522166342434
oct1607437652140
9377023478788
10121274061920
1147483056760
121b606530968
13b58914016b
145c266349c4
15324bc705b5
hex1c3c7f5460

121274061920 has 96 divisors (see below), whose sum is σ = 312767433216. Its totient is φ = 44069875200.

The previous prime is 121274061919. The next prime is 121274061929. The reversal of 121274061920 is 29160472121.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121274061929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2672057 + ... + 2717063.

It is an arithmetic number, because the mean of its divisors is an integer number (3257994096).

Almost surely, 2121274061920 is an apocalyptic number.

121274061920 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 121274061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156383716608).

121274061920 is an abundant number, since it is smaller than the sum of its proper divisors (191493371296).

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

121274061920 is a wasteful number, since it uses less digits than its factorization.

121274061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46564 (or 46556 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 121274061920 in words is "one hundred twenty-one billion, two hundred seventy-four million, sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1531 1760 3062 6124 7655 12248 15310 16841 24496 30620 33682 45007 48992 61240 67364 84205 90014 122480 134728 168410 180028 225035 244960 269456 336820 360056 450070 495077 538912 673640 720112 900140 990154 1347280 1440224 1800280 1980308 2475385 2694560 3600560 3960616 4950770 7201120 7921232 9901540 15842464 19803080 39606160 68905717 79212320 137811434 275622868 344528585 551245736 689057170 757962887 1102491472 1378114340 1515925774 2204982944 2756228680 3031851548 3789814435 5512457360 6063703096 7579628870 11024914720 12127406192 15159257740 24254812384 30318515480 60637030960 121274061920