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12121865520 = 24353112712829
BaseRepresentation
bin10110100101000010…
…01111110100110000
31011021210102120102020
423102201033310300
5144311144144040
65322501351440
7606251104542
oct132241176460
934253376366
1012121865520
115160527a86
122423708580
1311b24928bb
1482dca1692
154ae2e3cd0
hex2d284fd30

12121865520 has 160 divisors (see below), whose sum is σ = 39098449920. Its totient is φ = 3103349760.

The previous prime is 12121865471. The next prime is 12121865531. The reversal of 12121865520 is 2556812121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938466 + ... + 951294.

It is an arithmetic number, because the mean of its divisors is an integer number (244365312).

Almost surely, 212121865520 is an apocalyptic number.

12121865520 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 12121865520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549224960).

12121865520 is an abundant number, since it is smaller than the sum of its proper divisors (26976584400).

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

12121865520 is a wasteful number, since it uses less digits than its factorization.

12121865520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 12121865520 in words is "twelve billion, one hundred twenty-one million, eight hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 127 155 186 240 248 254 310 372 381 465 496 508 620 635 744 762 930 1016 1240 1270 1488 1524 1860 1905 2032 2480 2540 3048 3720 3810 3937 5080 6096 7440 7620 7874 10160 11811 12829 15240 15748 19685 23622 25658 30480 31496 38487 39370 47244 51316 59055 62992 64145 76974 78740 94488 102632 118110 128290 153948 157480 188976 192435 205264 236220 256580 307896 314960 384870 397699 472440 513160 615792 769740 795398 944880 1026320 1193097 1539480 1590796 1629283 1988495 2386194 3078960 3181592 3258566 3976990 4772388 4887849 5965485 6363184 6517132 7953980 8146415 9544776 9775698 11930970 13034264 15907960 16292830 19089552 19551396 23861940 24439245 26068528 31815920 32585660 39102792 47723880 48878490 50507773 65171320 78205584 95447760 97756980 101015546 130342640 151523319 195513960 202031092 252538865 303046638 391027920 404062184 505077730 606093276 757616595 808124368 1010155460 1212186552 1515233190 2020310920 2424373104 3030466380 4040621840 6060932760 12121865520