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1322220100120 = 2352367101212383
BaseRepresentation
bin10011001111011010011…
…101011001101000011000
311200101212210101111022021
4103033122131121220120
5133130401321200440
62451230341304224
7164345563261363
oct23173235315030
94611783344267
101322220100120
1146a82885a2a7
12194308a05074
13978b972058a
1447dd26610da
15245d9a2d84a
hex133da759a18

1322220100120 has 128 divisors (see below), whose sum is σ = 3181886115840. Its totient is φ = 493405862400.

The previous prime is 1322220100111. The next prime is 1322220100139. The reversal of 1322220100120 is 210010222231.

It is a happy number.

It is a super-2 number, since 2×13222201001202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322220100094 and 1322220100103.

It is a congruent number.

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, 6119449 + ... + 6331831.

It is an arithmetic number, because the mean of its divisors is an integer number (24858485280).

Almost surely, 21322220100120 is an apocalyptic number.

1322220100120 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 1322220100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590943057920).

1322220100120 is an abundant number, since it is smaller than the sum of its proper divisors (1859666015720).

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

1322220100120 is a wasteful number, since it uses less digits than its factorization.

1322220100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212585 (or 212581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1322220100120 its reverse (210010222231), we get a palindrome (1532230322351).

The spelling of 1322220100120 in words is "one trillion, three hundred twenty-two billion, two hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 101 115 134 184 202 230 268 335 404 460 505 536 670 808 920 1010 1340 1541 2020 2323 2680 3082 4040 4646 6164 6767 7705 9292 11615 12328 13534 15410 18584 23230 27068 30820 33835 46460 54136 61640 67670 92920 135340 155641 212383 270680 311282 424766 622564 778205 849532 1061915 1245128 1556410 1699064 2123830 3112820 4247660 4884809 6225640 8495320 9769618 14229661 19539236 21450683 24424045 28459322 39078472 42901366 48848090 56918644 71148305 85802732 97696180 107253415 113837288 142296610 171605464 195392360 214506830 284593220 327282203 429013660 493365709 569186440 654564406 858027320 986731418 1309128812 1437195761 1636411015 1973462836 2466828545 2618257624 2874391522 3272822030 3946925672 4933657090 5748783044 6545644060 7185978805 9867314180 11497566088 13091288120 14371957610 19734628360 28743915220 33055502503 57487830440 66111005006 132222010012 165277512515 264444020024 330555025030 661110050060 1322220100120