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1121112012120 = 233583113996119
BaseRepresentation
bin10000010100000111011…
…110111011010101011000
310222011210020001002211120
4100110013132323111120
5121332014133341440
62215010505125240
7143666125604202
oct20240736732530
93864706032746
101121112012120
113a250855a1a1
12161342189820
138194997b239
143c395337772
151e269176dd0
hex105077bb558

1121112012120 has 128 divisors (see below), whose sum is σ = 3433984243200. Its totient is φ = 292747126784.

The previous prime is 1121112012113. The next prime is 1121112012131. The reversal of 1121112012120 is 212102111211.

It is a happy number.

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 1121112012120.

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, 627421 + ... + 1623539.

It is an arithmetic number, because the mean of its divisors is an integer number (26828001900).

Almost surely, 21121112012120 is an apocalyptic number.

1121112012120 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 1121112012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716992121600).

1121112012120 is an abundant number, since it is smaller than the sum of its proper divisors (2312872231080).

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

1121112012120 is a wasteful number, since it uses less digits than its factorization.

1121112012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996329 (or 996325 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121112012120 its reverse (212102111211), we get a palindrome (1333214123331).

Subtracting from 1121112012120 its reverse (212102111211), we obtain a palindrome (909009900909).

The spelling of 1121112012120 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 113 120 166 226 249 332 339 415 452 498 565 664 678 830 904 996 1130 1245 1356 1660 1695 1992 2260 2490 2712 3320 3390 4520 4980 6780 9379 9960 13560 18758 28137 37516 46895 56274 75032 93790 112548 140685 187580 225096 281370 375160 562740 996119 1125480 1992238 2988357 3984476 4980595 5976714 7968952 9961190 11953428 14941785 19922380 23906856 29883570 39844760 59767140 82677877 112561447 119534280 165355754 225122894 248033631 330711508 337684341 413389385 450245788 496067262 562807235 661423016 675368682 826778770 900491576 992134524 1125614470 1240168155 1350737364 1653557540 1688421705 1984269048 2251228940 2480336310 2701474728 3307115080 3376843410 4502457880 4960672620 6753686820 9342600101 9921345240 13507373640 18685200202 28027800303 37370400404 46713000505 56055600606 74740800808 93426001010 112111201212 140139001515 186852002020 224222402424 280278003030 373704004040 560556006060 1121112012120