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20112121011120 = 2435107897767217
BaseRepresentation
bin1001001001010101101111…
…10101000001101110110000
32122012200220021221000022020
410210222313311001232300
510114004110434323440
6110435214132311440
74144024051626135
oct444526765015660
978180807830266
1020112121011120
116454558a971a6
122309a44772580
13b2b7460471b8
144d7608dda58c
1524d2682963d0
hex124ab7d41bb0

20112121011120 has 80 divisors (see below), whose sum is σ = 62353361971680. Its totient is φ = 5362734477312.

The previous prime is 20112121011107. The next prime is 20112121011163. The reversal of 20112121011120 is 2111012121102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 20112121011120.

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, 1294249 + ... + 6472968.

It is an arithmetic number, because the mean of its divisors is an integer number (779417024646).

Almost surely, 220112121011120 is an apocalyptic number.

20112121011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112121011120 is an abundant number, since it is smaller than the sum of its proper divisors (42241240960560).

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

20112121011120 is a wasteful number, since it uses less digits than its factorization.

20112121011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778022 (or 7778016 counting only the distinct ones).

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

Adding to 20112121011120 its reverse (2111012121102), we get a palindrome (22223133132222).

The spelling of 20112121011120 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10789 21578 32367 43156 53945 64734 86312 107890 129468 161835 172624 215780 258936 323670 431560 517872 647340 863120 1294680 2589360 7767217 15534434 23301651 31068868 38836085 46603302 62137736 77672170 93206604 116508255 124275472 155344340 186413208 233016510 310688680 372826416 466033020 621377360 932066040 1864132080 83800504213 167601008426 251401512639 335202016852 419002521065 502803025278 670404033704 838005042130 1005606050556 1257007563195 1340808067408 1676010084260 2011212101112 2514015126390 3352020168520 4022424202224 5028030252780 6704040337040 10056060505560 20112121011120