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2221020211212 = 22321137509297809
BaseRepresentation
bin100000010100011111000…
…111101110100000001100
321212022211201100220101200
4200110133013232200030
5242342122133224322
64420153403105500
7316314644205465
oct40243707564014
97768751326350
102221020211212
11786a25009870
122ba547212290
1313159772393a
14796d8545d6c
153cb91a428ac
hex2051f1ee80c

2221020211212 has 144 divisors (see below), whose sum is σ = 6302541117600. Its totient is φ = 653557524480.

The previous prime is 2221020211211. The next prime is 2221020211237. The reversal of 2221020211212 is 2121120201222.

It is a happy number.

2221020211212 is a `hidden beast` number, since 2 + 221 + 0 + 20 + 211 + 212 = 666.

It is a super-2 number, since 2×22210202112122 (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 (2221020211211) 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, 7308964 + ... + 7606772.

It is an arithmetic number, because the mean of its divisors is an integer number (43767646650).

Almost surely, 22221020211212 is an apocalyptic number.

2221020211212 is a gapful number since it is divisible by the number (22) 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 2221020211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151270558800).

2221020211212 is an abundant number, since it is smaller than the sum of its proper divisors (4081520906388).

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

2221020211212 is a wasteful number, since it uses less digits than its factorization.

2221020211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298376 (or 298371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221020211212 its reverse (2121120201222), we get a palindrome (4342140412434).

The spelling of 2221020211212 in words is "two trillion, two hundred twenty-one billion, twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 509 666 814 1018 1221 1332 1527 1628 2036 2442 3054 3663 4581 4884 5599 6108 7326 9162 11198 14652 16797 18324 18833 22396 33594 37666 50391 56499 67188 75332 100782 112998 169497 201564 207163 225996 297809 338994 414326 595618 621489 677988 828652 893427 1191236 1242978 1786854 1864467 2485956 2680281 3275899 3573708 3728934 5360562 6551798 7457868 9827697 10721124 11018933 13103596 19655394 22037866 29483091 33056799 39310788 44075732 58966182 66113598 99170397 117932364 121208263 132227196 151584781 198340794 242416526 303169562 363624789 396681588 454754343 484833052 606339124 727249578 909508686 1090874367 1364263029 1454499156 1667432591 1819017372 2181748734 2728526058 3334865182 4363497468 5002297773 5457052116 5608636897 6669730364 10004595546 11217273794 15006893319 16825910691 20009191092 22434547588 30013786638 33651821382 50477732073 60027573276 61695005867 67303642764 100955464146 123390011734 185085017601 201910928292 246780023468 370170035202 555255052803 740340070404 1110510105606 2221020211212