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2222120101120 = 28523101747323
BaseRepresentation
bin100000010101100000101…
…011011110010100000000
321212102200101000002200221
4200111200223132110000
5242401400221213440
64420454453352424
7316354131132553
oct40254053362400
97772611002627
102222120101120
11787439959397
122ba7b3638714
1313171156647a
14797a065669a
153cc083a5d4a
hex20560ade500

2222120101120 has 144 divisors (see below), whose sum is σ = 5609091100032. Its totient is φ = 841783500800.

The previous prime is 2222120101087. The next prime is 2222120101169. The reversal of 2222120101120 is 211010212222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2222120101094 and 2222120101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599779 + ... + 3347101.

It is an arithmetic number, because the mean of its divisors is an integer number (38952021528).

Almost surely, 22222120101120 is an apocalyptic number.

2222120101120 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 2222120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804545550016).

2222120101120 is an abundant number, since it is smaller than the sum of its proper divisors (3386970998912).

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

2222120101120 is a wasteful number, since it uses less digits than its factorization.

2222120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747468 (or 747454 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2222120101120 its reverse (211010212222), we get a palindrome (2433130313342).

The spelling of 2222120101120 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 101 115 128 160 184 202 230 256 320 368 404 460 505 640 736 808 920 1010 1280 1472 1616 1840 2020 2323 2944 3232 3680 4040 4646 5888 6464 7360 8080 9292 11615 12928 14720 16160 18584 23230 25856 29440 32320 37168 46460 64640 74336 92920 129280 148672 185840 297344 371680 594688 743360 747323 1486720 1494646 2973440 2989292 3736615 5978584 7473230 11957168 14946460 17188429 23914336 29892920 34376858 47828672 59785840 68753716 75479623 85942145 95657344 119571680 137507432 150959246 171884290 191314688 239143360 275014864 301918492 343768580 377398115 478286720 550029728 603836984 687537160 754796230 956573440 1100059456 1207673968 1375074320 1509592460 1736031329 2200118912 2415347936 2750148640 3019184920 3472062658 4400237824 4830695872 5500297280 6038369840 6944125316 8680156645 9661391744 11000594560 12076739680 13888250632 17360313290 19322783488 22001189120 24153479360 27776501264 34720626580 48306958720 55553002528 69441253160 96613917440 111106005056 138882506320 222212010112 277765012640 444424020224 555530025280 1111060050560 2222120101120