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21220201112120 = 2353183607339673
BaseRepresentation
bin1001101001100101101101…
…00011001010001000111000
32210010122001022010102211222
410310302312203022020320
510240132432441041440
6113044231550411212
74320052236240353
oct464626643121070
983118038112758
1021220201112120
11684148935570a
12246874a500b08
13bac096b2c90a
145350c565d29a
1526bebd2b62b5
hex134cb68ca238

21220201112120 has 128 divisors (see below), whose sum is σ = 49961751920640. Its totient is φ = 8101910891520.

The previous prime is 21220201112057. The next prime is 21220201112129. The reversal of 21220201112120 is 2121110202212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220201112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62302604 + ... + 62642276.

It is an arithmetic number, because the mean of its divisors is an integer number (390326186880).

Almost surely, 221220201112120 is an apocalyptic number.

21220201112120 is a gapful number since it is divisible by the number (20) 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 21220201112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24980875960320).

21220201112120 is an abundant number, since it is smaller than the sum of its proper divisors (28741550808520).

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

21220201112120 is a wasteful number, since it uses less digits than its factorization.

21220201112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340405 (or 340401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21220201112120 its reverse (2121110202212), we get a palindrome (23341311314332).

The spelling of 21220201112120 in words is "twenty-one trillion, two hundred twenty billion, two hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 83 124 155 166 248 310 332 415 607 620 664 830 1214 1240 1660 2428 2573 3035 3320 4856 5146 6070 10292 12140 12865 18817 20584 24280 25730 37634 50381 51460 75268 94085 100762 102920 150536 188170 201524 251905 339673 376340 403048 503810 679346 752680 1007620 1358692 1561811 1698365 2015240 2717384 3123622 3396730 6247244 6793460 7809055 10529863 12494488 13586920 15618110 21059726 28192859 31236220 42119452 52649315 56385718 62472440 84238904 105298630 112771436 140964295 206181511 210597260 225542872 281928590 412363022 421194520 563857180 824726044 873978629 1030907555 1127714360 1649452088 1747957258 2061815110 3495914516 4123630220 4369893145 6391626841 6991829032 8247260440 8739786290 12783253682 17113065413 17479572580 25566507364 31958134205 34226130826 34959145160 51133014728 63916268410 68452261652 85565327065 127832536820 136904523304 171130654130 255665073640 342261308260 530505027803 684522616520 1061010055606 2122020111212 2652525139015 4244040222424 5305050278030 10610100556060 21220201112120