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2120022212220 = 22325111789598501
BaseRepresentation
bin11110110110011011001…
…010111011111001111100
321111200010222210221220100
4132312123022323321330
5234213301141242340
64301531425321100
7306111061322103
oct36663312737174
97450128727810
102120022212220
117481072a7310
122a2a5b196190
13124bc0227a63
1474876b3903a
153a22edbe830
hex1ed9b2bbe7c

2120022212220 has 144 divisors (see below), whose sum is σ = 7019279336160. Its totient is φ = 513656640000.

The previous prime is 2120022212197. The next prime is 2120022212237. The reversal of 2120022212220 is 222122200212.

2120022212220 is a `hidden beast` number, since 21 + 200 + 2 + 221 + 2 + 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 = 2120022212193 and 2120022212202.

It is a congruent number.

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, 3242970 + ... + 3841470.

It is an arithmetic number, because the mean of its divisors is an integer number (48744995390).

Almost surely, 22120022212220 is an apocalyptic number.

2120022212220 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 2120022212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509639668080).

2120022212220 is an abundant number, since it is smaller than the sum of its proper divisors (4899257123940).

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

2120022212220 is a wasteful number, since it uses less digits than its factorization.

2120022212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600316 (or 600311 counting only the distinct ones).

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

Adding to 2120022212220 its reverse (222122200212), we get a palindrome (2342144412432).

The spelling of 2120022212220 in words is "two trillion, one hundred twenty billion, twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1789 1980 3578 5367 7156 8945 10734 16101 17890 19679 21468 26835 32202 35780 39358 53670 59037 64404 78716 80505 98395 107340 118074 161010 177111 196790 236148 295185 322020 354222 393580 590370 598501 708444 885555 1180740 1197002 1771110 1795503 2394004 2992505 3542220 3591006 5386509 5985010 6583511 7182012 8977515 10773018 11970020 13167022 17955030 19750533 21546036 26334044 26932545 32917555 35910060 39501066 53865090 59251599 65835110 79002132 98752665 107730180 118503198 131670220 197505330 237006396 296257995 395010660 592515990 1070718289 1185031980 2141436578 3212154867 4282873156 5353591445 6424309734 9636464601 10707182890 11777901179 12848619468 16060774335 19272929202 21414365780 23555802358 32121548670 35333703537 38545858404 47111604716 48182323005 58889505895 64243097340 70667407074 96364646010 106001110611 117779011790 141334814148 176668517685 192729292020 212002221222 235558023580 353337035370 424004442444 530005553055 706674070740 1060011106110 2120022212220