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212022101120 = 275547605639
BaseRepresentation
bin1100010101110110000…
…0001000010010000000
3202021021011222200212212
43011131200020102000
511433210124213440
6241222425241252
721214051060334
oct3053540102200
9667234880785
10212022101120
1181a10a48765
1235111933228
1316cbbc2158b
14a394a137c4
1557adb0d465
hex315d808480

212022101120 has 64 divisors (see below), whose sum is σ = 507792801600. Its totient is φ = 84653657088.

The previous prime is 212022101063. The next prime is 212022101141. The reversal of 212022101120 is 21101220212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 212022101095 and 212022101104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47261 + ... + 652899.

It is an arithmetic number, because the mean of its divisors is an integer number (7934262525).

Almost surely, 2212022101120 is an apocalyptic number.

212022101120 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 212022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253896400800).

212022101120 is an abundant number, since it is smaller than the sum of its proper divisors (295770700480).

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

212022101120 is an equidigital number, since it uses as much as digits as its factorization.

212022101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606205 (or 606193 counting only the distinct ones).

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

Adding to 212022101120 its reverse (21101220212), we get a palindrome (233123321332).

The spelling of 212022101120 in words is "two hundred twelve billion, twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 547 640 1094 2188 2735 4376 5470 8752 10940 17504 21880 35008 43760 70016 87520 175040 350080 605639 1211278 2422556 3028195 4845112 6056390 9690224 12112780 19380448 24225560 38760896 48451120 77521792 96902240 193804480 331284533 387608960 662569066 1325138132 1656422665 2650276264 3312845330 5300552528 6625690660 10601105056 13251381320 21202210112 26502762640 42404420224 53005525280 106011050560 212022101120