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2012222021220 = 22325149167449263
BaseRepresentation
bin11101010010000001110…
…001110101111001100100
321010100220012201212011200
4131102001301311321210
5230432012314134340
64140222501202500
7265243510654005
oct35220161657144
97110805655150
102012222021220
11706418966274
12285b95100430
131179a06c35a8
146d56bb831ac
1537520ea7330
hex1d481c75e64

2012222021220 has 144 divisors (see below), whose sum is σ = 6181513228800. Its totient is φ = 529798503168.

The previous prime is 2012222021191. The next prime is 2012222021269. The reversal of 2012222021220 is 221202222102.

2012222021220 is a `hidden beast` number, since 20 + 1 + 222 + 202 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012222021193 and 2012222021202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4254309 + ... + 4703571.

It is an arithmetic number, because the mean of its divisors is an integer number (42927175200).

Almost surely, 22012222021220 is an apocalyptic number.

2012222021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012222021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090756614400).

2012222021220 is an abundant number, since it is smaller than the sum of its proper divisors (4169291207580).

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

2012222021220 is a wasteful number, since it uses less digits than its factorization.

2012222021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449594 (or 449589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2012222021220 its reverse (221202222102), we get a palindrome (2233424243322).

The spelling of 2012222021220 in words is "two trillion, twelve billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 167 180 298 334 447 501 596 668 745 835 894 1002 1341 1490 1503 1670 1788 2004 2235 2505 2682 2980 3006 3340 4470 5010 5364 6012 6705 7515 8940 10020 13410 15030 24883 26820 30060 49766 74649 99532 124415 149298 223947 248830 298596 373245 447894 449263 497660 746490 895788 898526 1119735 1347789 1492980 1797052 2239470 2246315 2695578 4043367 4478940 4492630 5391156 6738945 8086734 8985260 13477890 16173468 20216835 26955780 40433670 66940187 75026921 80867340 133880374 150053842 200820561 225080763 267760748 300107684 334700935 375134605 401641122 450161526 602461683 669401870 675242289 750269210 803282244 900323052 1004102805 1125403815 1204923366 1338803740 1350484578 1500538420 2008205610 2250807630 2409846732 2700969156 3012308415 3376211445 4016411220 4501615260 6024616830 6752422890 11179011229 12049233660 13504845780 22358022458 33537033687 44716044916 55895056145 67074067374 100611101061 111790112290 134148134748 167685168435 201222202122 223580224580 335370336870 402444404244 503055505305 670740673740 1006111010610 2012222021220