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20011011120120 = 2335211183699439
BaseRepresentation
bin1001000110011001011010…
…01101011001101111111000
32121212000220202211100211110
410203030231031121233320
510110330022321320440
6110320533120400320
74133514340010616
oct443145515315770
977760822740743
1020011011120120
116415693100609
1222b23271760a0
13b22051602a27
144d27767c46b6
1524a7eb8c0080
hex12332d359bf8

20011011120120 has 128 divisors (see below), whose sum is σ = 60075012096000. Its totient is φ = 5332539463680.

The previous prime is 20011011120083. The next prime is 20011011120143. The reversal of 20011011120120 is 2102111011002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20011011120096 and 20011011120105.

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, 2120030361 + ... + 2120039799.

It is an arithmetic number, because the mean of its divisors is an integer number (469336032000).

Almost surely, 220011011120120 is an apocalyptic number.

20011011120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011011120120 is an abundant number, since it is smaller than the sum of its proper divisors (40064000975880).

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

20011011120120 is a wasteful number, since it uses less digits than its factorization.

20011011120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19933 (or 19929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20011011120120 its reverse (2102111011002), we get a palindrome (22113122131122).

The spelling of 20011011120120 in words is "twenty trillion, eleven billion, eleven million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2111 4222 6333 8369 8444 9439 10555 12666 16738 16888 18878 21110 25107 25332 28317 31665 33476 37756 41845 42220 47195 50214 50664 56634 63330 66952 75512 83690 84440 94390 100428 113268 125535 126660 141585 167380 188780 200856 226536 251070 253320 283170 334760 377560 502140 566340 1004280 1132680 17666959 19925729 35333918 39851458 53000877 59777187 70667836 78994991 79702916 88334795 99628645 106001754 119554374 141335672 157989982 159405832 176669590 199257290 212003508 236984973 239108748 265004385 298885935 315979964 353339180 394974955 398514580 424007016 473969946 478217496 530008770 597771870 631959928 706678360 789949910 797029160 947939892 1060017540 1184924865 1195543740 1579899820 1895879784 2120035080 2369849730 2391087480 3159799640 4739699460 9479398920 166758426001 333516852002 500275278003 667033704004 833792130005 1000550556006 1334067408008 1667584260010 2001101112012 2501376390015 3335168520020 4002202224024 5002752780030 6670337040040 10005505560060 20011011120120