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2120012420020 = 2251131535865137
BaseRepresentation
bin11110110110011010100…
…101100101001110110100
321111200010022101110112021
4132312122211211032310
5234213241134420040
64301530435402524
7306110612146315
oct36663245451664
97450108343467
102120012420020
11748101819290
122a2a57a53444
13124bbb1a9961
147487570a60c
153a22e0d824a
hex1ed9a9653b4

2120012420020 has 96 divisors (see below), whose sum is σ = 5108019065856. Its totient is φ = 731968972800.

The previous prime is 2120012419991. The next prime is 2120012420021. The reversal of 2120012420020 is 200242100212.

It is a super-2 number, since 2×21200124200202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120012419976 and 2120012420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012420021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2571109 + ... + 3294028.

It is an arithmetic number, because the mean of its divisors is an integer number (53208531936).

Almost surely, 22120012420020 is an apocalyptic number.

2120012420020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120012420020 is an abundant number, since it is smaller than the sum of its proper divisors (2988006645836).

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

2120012420020 is a wasteful number, since it uses less digits than its factorization.

2120012420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865241 (or 5865239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2120012420020 its reverse (200242100212), we get a palindrome (2320254520232).

The spelling of 2120012420020 in words is "two trillion, one hundred twenty billion, twelve million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 53 55 62 106 110 124 155 212 220 265 310 341 530 583 620 682 1060 1166 1364 1643 1705 2332 2915 3286 3410 5830 6572 6820 8215 11660 16430 18073 32860 36146 72292 90365 180730 361460 5865137 11730274 23460548 29325685 58651370 64516507 117302740 129033014 181819247 258066028 310852261 322582535 363638494 621704522 645165070 727276988 909096235 1243409044 1290330140 1554261305 1818192470 2000011717 3108522610 3419374871 3636384940 4000023434 6217045220 6838749742 8000046868 9636420091 10000058585 13677499484 17096874355 19272840182 20000117170 34193748710 38545680364 40000234340 48182100455 68387497420 96364200910 106000621001 192728401820 212001242002 424002484004 530003105005 1060006210010 2120012420020