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1222101121020 = 22351321109108677
BaseRepresentation
bin10001110010001010111…
…001110011011111111100
311022211110022212101102020
4101302022321303133330
5130010330341333040
62333231524200140
7154202543063133
oct21621271633774
94284408771366
101222101121020
1143132124a46a
12178a27239050
138b322383800
14432158ac91a
1521bca140cd0
hex11c8ae737fc

1222101121020 has 144 divisors (see below), whose sum is σ = 3708728039520. Its totient is φ = 300550867968.

The previous prime is 1222101120973. The next prime is 1222101121069. The reversal of 1222101121020 is 201211012221.

It is a super-2 number, since 2×12221011210202 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11190922 + ... + 11299598.

It is an arithmetic number, because the mean of its divisors is an integer number (25755055830).

Almost surely, 21222101121020 is an apocalyptic number.

1222101121020 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 1222101121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854364019760).

1222101121020 is an abundant number, since it is smaller than the sum of its proper divisors (2486626918500).

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

1222101121020 is a wasteful number, since it uses less digits than its factorization.

1222101121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109824 (or 109809 counting only the distinct ones).

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

Adding to 1222101121020 its reverse (201211012221), we get a palindrome (1423312133241).

The spelling of 1222101121020 in words is "one trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1109 1690 2028 2218 2535 3327 3380 4436 5070 5545 6654 10140 11090 13308 14417 16635 22180 28834 33270 43251 57668 66540 72085 86502 108677 144170 173004 187421 216255 217354 288340 326031 374842 432510 434708 543385 562263 652062 749684 865020 937105 1086770 1124526 1304124 1412801 1630155 1874210 2173540 2249052 2811315 2825602 3260310 3748420 4238403 5622630 5651204 6520620 7064005 8476806 11245260 14128010 16953612 18366413 21192015 28256020 36732826 42384030 55099239 73465652 84768060 91832065 110198478 120522793 183664130 220396956 241045586 275496195 361568379 367328260 482091172 550992390 602613965 723136758 1101984780 1205227930 1446273516 1566796309 1807841895 2410455860 3133592618 3615683790 4700388927 6267185236 7231367580 7833981545 9400777854 15667963090 18801555708 20368352017 23501944635 31335926180 40736704034 47003889270 61105056051 81473408068 94007778540 101841760085 122210112102 203683520170 244420224204 305525280255 407367040340 611050560510 1222101121020