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11120022002120 = 2354354198312157
BaseRepresentation
bin1010000111010001010011…
…1101100001100111001000
31110101001201110020010001012
42201310110331201213020
52424142301113031440
635352244555343052
72225252340314003
oct241642475414710
943331643203035
1011120022002120
1135a7a7a5815a9
1212b7174a51a88
136287c9042c15
142a62d77a853a
151443cd558e65
hexa1d14f619c8

11120022002120 has 128 divisors (see below), whose sum is σ = 25677439223040. Its totient is φ = 4331768232960.

The previous prime is 11120022002113. The next prime is 11120022002147. The reversal of 11120022002120 is 2120022002111.

It is a junction number, because it is equal to n+sod(n) for n = 11120022002095 and 11120022002104.

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, 914695082 + ... + 914707238.

It is an arithmetic number, because the mean of its divisors is an integer number (200604993930).

Almost surely, 211120022002120 is an apocalyptic number.

11120022002120 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 11120022002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838719611520).

11120022002120 is an abundant number, since it is smaller than the sum of its proper divisors (14557417220920).

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

11120022002120 is a wasteful number, since it uses less digits than its factorization.

11120022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13735 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11120022002120 its reverse (2120022002111), we get a palindrome (13240044004231).

Subtracting from 11120022002120 its reverse (2120022002111), we obtain a palindrome (9000000000009).

The spelling of 11120022002120 in words is "eleven trillion, one hundred twenty billion, twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 541 860 983 1082 1720 1966 2164 2705 3932 4328 4915 5410 7864 9830 10820 12157 19660 21640 23263 24314 39320 42269 46526 48628 60785 84538 93052 97256 116315 121570 169076 186104 211345 232630 243140 338152 422690 465260 486280 522751 531803 845380 930520 1045502 1063606 1690760 2091004 2127212 2613755 2659015 4182008 4254424 5227510 5318030 6576937 10455020 10636060 11950331 13153874 20910040 21272120 22867529 23900662 26307748 32884685 45735058 47801324 52615496 59751655 65769370 91470116 95602648 114337645 119503310 131538740 182940232 228675290 239006620 263077480 282808291 457350580 478013240 513864233 565616582 914701160 1027728466 1131233164 1414041455 2055456932 2262466328 2569321165 2828082910 4110913864 5138642330 5656165820 6465129071 10277284660 11312331640 12930258142 20554569320 25860516284 32325645355 51721032568 64651290710 129302581420 258605162840 278000550053 556001100106 1112002200212 1390002750265 2224004400424 2780005500530 5560011001060 11120022002120