Search a number
-
+
1122010212120 = 233571498964607
BaseRepresentation
bin10000010100111101000…
…001010010011100011000
310222021002211011101121020
4100110331001102130120
5121340334103241440
62215235552442440
7144030313305120
oct20247501223430
93867084141536
101122010212120
113a2929572146
12161552b49420
1381a60a94525
143c43c745c80
151e2bce4a3d0
hex1053d052718

1122010212120 has 128 divisors (see below), whose sum is σ = 3872710656000. Its totient is φ = 254738244096.

The previous prime is 1122010211999. The next prime is 1122010212149. The reversal of 1122010212120 is 212120102211.

It is a super-2 number, since 2×11220102121202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122010212120.

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, 4357144 + ... + 4607463.

It is an arithmetic number, because the mean of its divisors is an integer number (30255552000).

Almost surely, 21122010212120 is an apocalyptic number.

1122010212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122010212120 is an abundant number, since it is smaller than the sum of its proper divisors (2750700443880).

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

1122010212120 is a wasteful number, since it uses less digits than its factorization.

1122010212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8964777 (or 8964773 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122010212120 its reverse (212120102211), we get a palindrome (1334130314331).

The spelling of 1122010212120 in words is "one trillion, one hundred twenty-two billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 149 168 210 280 298 420 447 596 745 840 894 1043 1192 1490 1788 2086 2235 2980 3129 3576 4172 4470 5215 5960 6258 8344 8940 10430 12516 15645 17880 20860 25032 31290 41720 62580 125160 8964607 17929214 26893821 35858428 44823035 53787642 62752249 71716856 89646070 107575284 125504498 134469105 179292140 188256747 215150568 251008996 268938210 313761245 358584280 376513494 502017992 537876420 627522490 753026988 941283735 1075752840 1255044980 1335726443 1506053976 1882567470 2510089960 2671452886 3765134940 4007179329 5342905772 6678632215 7530269880 8014358658 9350085101 10685811544 13357264430 16028717316 18700170202 20035896645 26714528860 28050255303 32057434632 37400340404 40071793290 46750425505 53429057720 56100510606 74800680808 80143586580 93500851010 112201021212 140251276515 160287173160 187001702020 224402042424 280502553030 374003404040 561005106060 1122010212120