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11222200112120 = 23517119237138407
BaseRepresentation
bin1010001101001101111101…
…0000000101001111111000
31110201211110102100220111122
42203103133100011033320
52432331031212041440
635511224011044412
72235530403031304
oct243233720051770
943654412326448
1011222200112120
113637343445a08
121312b30140708
13635330b8b53a
142ab22bc08d04
15146dadad97b5
hexa34df4053f8

11222200112120 has 64 divisors (see below), whose sum is σ = 26735658828480. Its totient is φ = 4224762320896.

The previous prime is 11222200112113. The next prime is 11222200112153. The reversal of 11222200112120 is 2121100222211.

11222200112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112222001121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81011957 + ... + 81150363.

It is an arithmetic number, because the mean of its divisors is an integer number (417744669195).

Almost surely, 211222200112120 is an apocalyptic number.

11222200112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222200112120 is an abundant number, since it is smaller than the sum of its proper divisors (15513458716360).

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

11222200112120 is a wasteful number, since it uses less digits than its factorization.

11222200112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257672 (or 257668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11222200112120 its reverse (2121100222211), we get a palindrome (13343300334331).

The spelling of 11222200112120 in words is "eleven trillion, two hundred twenty-two billion, two hundred million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 119237 138407 238474 276814 476948 553628 596185 692035 953896 1107256 1192370 1384070 2027029 2352919 2384740 2768140 4054058 4705838 4769480 5536280 8108116 9411676 10135145 11764595 16216232 18823352 20270290 23529190 40540580 47058380 81081160 94116760 16503235459 33006470918 66012941836 82516177295 132025883672 165032354590 280555002803 330064709180 561110005606 660129418360 1122220011212 1402775014015 2244440022424 2805550028030 5611100056060 11222200112120