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1220221210120 = 2351131101885733
BaseRepresentation
bin10001110000011010110…
…110100000111000001000
311022122121022111000110121
4101300122312200320020
5124443003112210440
62332321211153024
7154105135103263
oct21603266407010
94278538430417
101220221210120
114305470755a0
121785a1745774
138b0b2a64ab3
14430b7d53cda
1521b1a0a034a
hex11c1ada0e08

1220221210120 has 128 divisors (see below), whose sum is σ = 3122318638080. Its totient is φ = 425151360000.

The previous prime is 1220221210081. The next prime is 1220221210147. The reversal of 1220221210120 is 210121220221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220221210094 and 1220221210103.

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, 934774 + ... + 1820506.

It is an arithmetic number, because the mean of its divisors is an integer number (24393114360).

Almost surely, 21220221210120 is an apocalyptic number.

1220221210120 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 1220221210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561159319040).

1220221210120 is an abundant number, since it is smaller than the sum of its proper divisors (1902097427960).

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

1220221210120 is a wasteful number, since it uses less digits than its factorization.

1220221210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885887 (or 885883 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1220221210120 its reverse (210121220221), we get a palindrome (1430342430341).

It can be divided in two parts, 1220221 and 210120, that added together give a palindrome (1430341).

The spelling of 1220221210120 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 101 110 124 155 202 220 248 310 341 404 440 505 620 682 808 1010 1111 1240 1364 1705 2020 2222 2728 3131 3410 4040 4444 5555 6262 6820 8888 11110 12524 13640 15655 22220 25048 31310 34441 44440 62620 68882 125240 137764 172205 275528 344410 688820 885733 1377640 1771466 3542932 4428665 7085864 8857330 9743063 17714660 19486126 27457723 35429320 38972252 48715315 54915446 77944504 89459033 97430630 109830892 137288615 178918066 194861260 219661784 274577230 302034953 357836132 389722520 447295165 549154460 604069906 715672264 894590330 984049363 1098308920 1208139812 1510174765 1789180660 1968098726 2416279624 2773230023 3020349530 3578361320 3936197452 4920246815 5546460046 6040699060 7872394904 9840493630 11092920092 12081398120 13866150115 19680987260 22185840184 27732300230 30505530253 39361974520 55464600460 61011060506 110929200920 122022121012 152527651265 244044242024 305055302530 610110605060 1220221210120