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2120022201120 = 25355974859541
BaseRepresentation
bin11110110110011011001…
…010111001001100100000
321111200010222210101200020
4132312123022321030200
5234213301140413440
64301531425153440
7306111061244535
oct36663312711440
97450128711606
102120022201120
11748107299a3a
122a2a5b18b880
13124bc02229a5
1474876b34d8c
153a22edbb3d0
hex1ed9b2b9320

2120022201120 has 96 divisors (see below), whose sum is σ = 6791257650240. Its totient is φ = 555757224960.

The previous prime is 2120022201119. The next prime is 2120022201127. The reversal of 2120022201120 is 211022200212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×21200222011203 (a number of 38 digits) contains 333 as substring.

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 2120022201120.

It is not an unprimeable number, because it can be changed into a prime (2120022201127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37401451 + ... + 37458090.

It is an arithmetic number, because the mean of its divisors is an integer number (70742267190).

Almost surely, 22120022201120 is an apocalyptic number.

2120022201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120022201120 is an abundant number, since it is smaller than the sum of its proper divisors (4671235449120).

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

2120022201120 is a wasteful number, since it uses less digits than its factorization.

2120022201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74859618 (or 74859610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120022201120 its reverse (211022200212), we get a palindrome (2331044401332).

The spelling of 2120022201120 in words is "two trillion, one hundred twenty billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 74859541 149719082 224578623 299438164 374297705 449157246 598876328 748595410 898314492 1122893115 1197752656 1497190820 1796628984 2245786230 2395505312 2994381640 3593257968 4416712919 4491572460 5988763280 7186515936 8833425838 8983144920 11977526560 13250138757 17666851676 17966289840 22083564595 26500277514 35333703352 35932579680 44167129190 53000555028 66250693785 70667406704 88334258380 106001110056 132501387570 141334813408 176668516760 212002220112 265002775140 353337033520 424004440224 530005550280 706674067040 1060011100560 2120022201120