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1121011121020 = 225722815038093
BaseRepresentation
bin10000010100000001011…
…110000011101101111100
310222011112012012022021011
4100110001132003231330
5121331312321333040
62214552502445004
7143663462211100
oct20240136035574
93864465168234
101121011121020
113a246660a21a
12161314433764
1381931ab4c6b
143c385b93900
151e2603983ea
hex10501783b7c

1121011121020 has 144 divisors (see below), whose sum is σ = 2754019372608. Its totient is φ = 382170270720.

The previous prime is 1121011120993. The next prime is 1121011121039. The reversal of 1121011121020 is 201211101211.

It is a happy number.

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, 138512094 + ... + 138520186.

It is an arithmetic number, because the mean of its divisors is an integer number (19125134532).

Almost surely, 21121011121020 is an apocalyptic number.

1121011121020 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 1121011121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377009686304).

1121011121020 is an abundant number, since it is smaller than the sum of its proper divisors (1633008251588).

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

1121011121020 is a wasteful number, since it uses less digits than its factorization.

1121011121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121011121020 its reverse (201211101211), we get a palindrome (1322222222231).

The spelling of 1121011121020 in words is "one trillion, one hundred twenty-one billion, eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 281 490 503 562 980 1006 1124 1405 1967 2012 2515 2810 3521 3934 5030 5620 7042 7868 8093 9835 10060 13769 14084 16186 17605 19670 24647 27538 32372 35210 39340 40465 49294 55076 56651 68845 70420 80930 98588 113302 123235 137690 141343 161860 226604 246470 275380 282686 283255 396557 492940 565372 566510 706715 793114 989401 1133020 1413430 1586228 1978802 1982785 2274133 2826860 3957604 3965570 4070779 4548266 4947005 6925807 7931140 8141558 9096532 9894010 11370665 13851614 15918931 16283116 19788020 20353895 22741330 27703228 28495453 31837862 34629035 40707790 45482660 56990906 63675724 69258070 79594655 81415580 111432517 113981812 138516140 142477265 159189310 199468171 222865034 284954530 318378620 398936342 445730068 557162585 569909060 797872684 997340855 1114325170 1143888899 1994681710 2228650340 2287777798 3989363420 4575555596 5719444495 8007222293 11438888990 16014444586 22877777980 32028889172 40036111465 56050556051 80072222930 112101112102 160144445860 224202224204 280252780255 560505560510 1121011121020