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22121211020 = 22529535912197
BaseRepresentation
bin10100100110100001…
…101110010010001100
32010002122221221201212
4110212201232102030
5330301012223040
614055022153552
71412120122406
oct244641562214
963078857655
1022121211020
119421935287
1243544228b8
132116cb119c
1410dbcd3b76
158970c2d65
hex52686e48c

22121211020 has 96 divisors (see below), whose sum is σ = 49797115200. Its totient is φ = 8239422464.

The previous prime is 22121210999. The next prime is 22121211023. The reversal of 22121211020 is 2011212122.

It is a junction number, because it is equal to n+sod(n) for n = 22121210986 and 22121211004.

It is not an unprimeable number, because it can be changed into a prime (22121211023) 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, 1807562 + ... + 1819758.

It is an arithmetic number, because the mean of its divisors is an integer number (518719950).

Almost surely, 222121211020 is an apocalyptic number.

22121211020 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 22121211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898557600).

22121211020 is an abundant number, since it is smaller than the sum of its proper divisors (27675904180).

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

22121211020 is a wasteful number, since it uses less digits than its factorization.

22121211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12347 (or 12345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22121211020 its reverse (2011212122), we get a palindrome (24132423142).

It can be divided in two parts, 221212 and 11020, that added together give a palindrome (232232).

The spelling of 22121211020 in words is "twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 29 53 58 59 106 116 118 145 212 236 265 290 295 530 580 590 1060 1180 1537 1711 3074 3127 3422 6148 6254 6844 7685 8555 12197 12508 15370 15635 17110 24394 30740 31270 34220 48788 60985 62540 90683 121970 181366 243940 353713 362732 453415 646441 707426 719623 906830 1292882 1414852 1439246 1768565 1813660 2585764 2878492 3232205 3537130 3598115 6464410 7074260 7196230 12928820 14392460 18746789 20869067 37493578 38140019 41738134 74987156 76280038 83476268 93733945 104345335 152560076 187467890 190700095 208690670 374935780 381400190 417381340 762800380 1106060551 2212121102 4424242204 5530302755 11060605510 22121211020