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2212012120 = 2351723294877
BaseRepresentation
bin1000001111011000…
…1010000001011000
312201011021212011211
42003312022001120
514012233341440
61003255032504
7105546535633
oct20366120130
95634255154
102212012120
11a3569449a
1251896b734
13293379016
1416dac6c1a
15ce2e0eea
hex83d8a058

2212012120 has 128 divisors (see below), whose sum is σ = 5689699200. Its totient is φ = 768925696.

The previous prime is 2212012111. The next prime is 2212012123. The reversal of 2212012120 is 212102122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451122 + ... + 455998.

It is an arithmetic number, because the mean of its divisors is an integer number (44450775).

Almost surely, 22212012120 is an apocalyptic number.

2212012120 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 2212012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844849600).

2212012120 is an abundant number, since it is smaller than the sum of its proper divisors (3477687080).

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

2212012120 is a wasteful number, since it uses less digits than its factorization.

2212012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2212012120 is about 47032.0329137493. The cubic root of 2212012120 is about 1302.9542517874.

Adding to 2212012120 its reverse (212102122), we get a palindrome (2424114242).

The spelling of 2212012120 in words is "two billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 29 34 40 46 58 68 85 92 115 116 136 145 170 184 230 232 290 340 391 460 493 580 667 680 782 920 986 1160 1334 1564 1955 1972 2465 2668 3128 3335 3910 3944 4877 4930 5336 6670 7820 9754 9860 11339 13340 15640 19508 19720 22678 24385 26680 39016 45356 48770 56695 82909 90712 97540 112171 113390 141433 165818 195080 224342 226780 282866 331636 414545 448684 453560 560855 565732 663272 707165 829090 897368 1121710 1131464 1414330 1658180 1906907 2243420 2404361 2828660 3252959 3316360 3813814 4486840 4808722 5657320 6505918 7627628 9534535 9617444 12021805 13011836 15255256 16264795 19069070 19234888 24043610 26023672 32529590 38138140 48087220 55300303 65059180 76276280 96174440 110600606 130118360 221201212 276501515 442402424 553003030 1106006060 2212012120