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1121120231220 = 22325113591577221
BaseRepresentation
bin10000010100000111111…
…110010001111100110100
310222011210210111200022200
4100110013332101330310
5121332023234344340
62215011401224500
7143666255505453
oct20240776217464
93864723450280
101121120231220
113a2512163340
12161344a92130
138194b598302
143c396476b9a
151e269c4c330
hex10507f91f34

1121120231220 has 144 divisors (see below), whose sum is σ = 3720225075840. Its totient is φ = 271029484800.

The previous prime is 1121120231213. The next prime is 1121120231239. The reversal of 1121120231220 is 221320211211.

1121120231220 is a `hidden beast` number, since 1 + 1 + 211 + 2 + 0 + 231 + 220 = 666.

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 = 1121120231193 and 1121120231202.

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, 77791 + ... + 1499430.

It is an arithmetic number, because the mean of its divisors is an integer number (25834896360).

Almost surely, 21121120231220 is an apocalyptic number.

1121120231220 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 1121120231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860112537920).

1121120231220 is an abundant number, since it is smaller than the sum of its proper divisors (2599104844620).

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

1121120231220 is a wasteful number, since it uses less digits than its factorization.

1121120231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577606 (or 1577601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121120231220 its reverse (221320211211), we get a palindrome (1342440442431).

The spelling of 1121120231220 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 359 396 495 660 718 990 1077 1436 1795 1980 2154 3231 3590 3949 4308 5385 6462 7180 7898 10770 11847 12924 15796 16155 19745 21540 23694 32310 35541 39490 47388 59235 64620 71082 78980 118470 142164 177705 236940 355410 710820 1577221 3154442 4731663 6308884 7886105 9463326 14194989 15772210 17349431 18926652 23658315 28389978 31544420 34698862 47316630 52048293 56779956 69397724 70974945 86747155 94633260 104096586 141949890 156144879 173494310 208193172 260241465 283899780 312289758 346988620 520482930 566222339 624579516 780724395 1040965860 1132444678 1561448790 1698667017 2264889356 2831111695 3122897580 3397334034 5096001051 5662223390 6228445729 6794668068 8493335085 10192002102 11324446780 12456891458 16986670170 18685337187 20384004204 24913782916 25480005255 31142228645 33973340340 37370674374 50960010510 56056011561 62284457290 74741348748 93426685935 101920021020 112112023122 124568914580 186853371870 224224046244 280280057805 373706743740 560560115610 1121120231220