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1222121110212 = 22322337101394967
BaseRepresentation
bin10001110010001100000…
…110000011101011000100
311022211111201110221102200
4101302030012003223010
5130010401001011322
62333233520434500
7154203205015512
oct21621406035304
94284451427380
101222121110212
11431331562662
12178a31a78a30
138b326562032
14432183d34b2
1521bcbc8d8ac
hex11c8c183ac4

1222121110212 has 144 divisors (see below), whose sum is σ = 3343476794112. Its totient is φ = 375375686400.

The previous prime is 1222121110153. The next prime is 1222121110213. The reversal of 1222121110212 is 2120111212221.

1222121110212 is a `hidden beast` number, since 1 + 222 + 121 + 110 + 212 = 666.

It is a super-2 number, since 2×12221211102122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1222121110213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2896753 + ... + 3291719.

It is an arithmetic number, because the mean of its divisors is an integer number (23218588848).

Almost surely, 21222121110212 is an apocalyptic number.

1222121110212 is a gapful number since it is divisible by the number (12) 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 1222121110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671738397056).

1222121110212 is an abundant number, since it is smaller than the sum of its proper divisors (2121355683900).

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

1222121110212 is a wasteful number, since it uses less digits than its factorization.

1222121110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395138 (or 395133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1222121110212 its reverse (2120111212221), we get a palindrome (3342232322433).

The spelling of 1222121110212 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 101 111 138 148 202 207 222 276 303 333 404 414 444 606 666 828 851 909 1212 1332 1702 1818 2323 2553 3404 3636 3737 4646 5106 6969 7474 7659 9292 10212 11211 13938 14948 15318 20907 22422 27876 30636 33633 41814 44844 67266 83628 85951 134532 171902 257853 343804 394967 515706 773559 789934 1031412 1184901 1547118 1579868 2369802 3094236 3554703 4739604 7109406 9084241 14218812 14613779 18168482 27252723 29227558 36336964 39891667 43841337 54505446 58455116 79783334 81758169 87682674 109010892 119675001 131524011 159566668 163516338 175365348 239350002 263048022 327032676 336116917 359025003 478700004 526096044 672233834 718050006 917508341 1008350751 1344467668 1436100012 1475991679 1835016682 2016701502 2752525023 2951983358 3025052253 3670033364 4033403004 4427975037 5505050046 5903966716 6050104506 8257575069 8855950074 11010100092 12100209012 13283925111 16515150138 17711900148 26567850222 33030300276 33947808617 53135700444 67895617234 101843425851 135791234468 203686851702 305530277553 407373703404 611060555106 1222121110212