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2221221201120 = 2532510115272423
BaseRepresentation
bin100000010100101011000…
…110011100010011100000
321212100100201120020201100
4200110223012130103200
5242343030111413440
64420225343034400
7316322634455055
oct40245306342340
97770321506640
102221221201120
11787018508529
122ba5a259ba00
131315ca26668c
147971710502c
153cba44e5230
hex2052b19c4e0

2221221201120 has 144 divisors (see below), whose sum is σ = 7654966536672. Its totient is φ = 586461004800.

The previous prime is 2221221201119. The next prime is 2221221201131. The reversal of 2221221201120 is 211021221222.

It is a happy number.

2221221201120 is a `hidden beast` number, since 2 + 221 + 221 + 201 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221221201093 and 2221221201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7490772 + ... + 7781651.

It is an arithmetic number, because the mean of its divisors is an integer number (53159489838).

Almost surely, 22221221201120 is an apocalyptic number.

2221221201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221221201120 is an abundant number, since it is smaller than the sum of its proper divisors (5433745335552).

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

2221221201120 is a wasteful number, since it uses less digits than its factorization.

2221221201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15272545 (or 15272534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221221201120 its reverse (211021221222), we get a palindrome (2432242422342).

The spelling of 2221221201120 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 16160 18180 24240 29088 36360 48480 72720 145440 15272423 30544846 45817269 61089692 76362115 91634538 122179384 137451807 152724230 183269076 229086345 244358768 274903614 305448460 366538152 458172690 488717536 549807228 610896920 687259035 733076304 916345380 1099614456 1221793840 1374518070 1466152608 1542514723 1832690760 2199228912 2443587680 2749036140 3085029446 3665381520 4398457824 4627544169 5498072280 6170058892 7330763040 7712573615 9255088338 10996144560 12340117784 13882632507 15425147230 18510176676 21992289120 23137720845 24680235568 27765265014 30850294460 37020353352 46275441690 49360471136 55530530028 61700588920 69413162535 74040706704 92550883380 111061060056 123401177840 138826325070 148081413408 185101766760 222122120112 246802355680 277652650140 370203533520 444244240224 555305300280 740407067040 1110610600560 2221221201120