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11012121000120 = 2335211434917891
BaseRepresentation
bin1010000000111111010110…
…0011110111100010111000
31102222202012122110021121210
42200033311203313202320
52420410310434000440
635230522030403120
72214412424035152
oct240176543674270
942882178407553
1011012121000120
11356623a245789
12129a2810604a0
1361b591672a86
142a0dbd28dad2
151416b587ba80
hexa03f58f78b8

11012121000120 has 64 divisors (see below), whose sum is σ = 33192933517440. Its totient is φ = 2922648220800.

The previous prime is 11012121000037. The next prime is 11012121000203. The reversal of 11012121000120 is 2100012121011.

It is an interprime number because it is at equal distance from previous prime (11012121000037) and next prime (11012121000203).

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 = 11012121000096 and 11012121000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217433626 + ... + 217484265.

It is an arithmetic number, because the mean of its divisors is an integer number (518639586210).

Almost surely, 211012121000120 is an apocalyptic number.

11012121000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012121000120 is an abundant number, since it is smaller than the sum of its proper divisors (22180812517320).

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

11012121000120 is a wasteful number, since it uses less digits than its factorization.

11012121000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434918116 (or 434918112 counting only the distinct ones).

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

Adding to 11012121000120 its reverse (2100012121011), we get a palindrome (13112133121131).

The spelling of 11012121000120 in words is "eleven trillion, twelve billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 3165 4220 5064 6330 8440 12660 25320 434917891 869835782 1304753673 1739671564 2174589455 2609507346 3479343128 4349178910 5219014692 6523768365 8698357820 10438029384 13047536730 17396715640 26095073460 52190146920 91767675001 183535350002 275303025003 367070700004 458838375005 550606050006 734141400008 917676750010 1101212100012 1376515125015 1835353500020 2202424200024 2753030250030 3670707000040 5506060500060 11012121000120