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1220221210012 = 2271719443304561
BaseRepresentation
bin10001110000011010110…
…110100000110110011100
311022122121022111000022121
4101300122312200312130
5124443003112210022
62332321211152324
7154105135103050
oct21603266406634
94278538430277
101220221210012
11430547075502
121785a17456a4
138b0b2a64a2c
14430b7d53c60
1521b1a0a02c7
hex11c1ada0d9c

1220221210012 has 96 divisors (see below), whose sum is σ = 2726146644480. Its totient is φ = 465231237120.

The previous prime is 1220221210003. The next prime is 1220221210081. The reversal of 1220221210012 is 2100121220221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3854212 + ... + 4158772.

It is an arithmetic number, because the mean of its divisors is an integer number (28397360880).

Almost surely, 21220221210012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220221210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363073322240).

1220221210012 is an abundant number, since it is smaller than the sum of its proper divisors (1505925434468).

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

1220221210012 is a wasteful number, since it uses less digits than its factorization.

1220221210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305051 (or 305049 counting only the distinct ones).

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

Adding to 1220221210012 its reverse (2100121220221), we get a palindrome (3320342430233).

The spelling of 1220221210012 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 443 476 532 646 886 1292 1772 2261 3101 4522 6202 7531 8417 9044 12404 15062 16834 30124 33668 52717 58919 105434 117838 143089 210868 235676 286178 304561 572356 609122 1001623 1218244 2003246 2131927 4006492 4263854 5177537 5786659 8527708 10355074 11573318 20710148 23146636 36242759 40506613 72485518 81013226 98373203 134920523 144971036 162026452 196746406 269841046 393492812 539682092 688612421 944443661 1377224842 1888887322 2293648891 2563489937 2754449684 3777774644 4587297782 5126979874 9174595564 10253959748 16055542237 17944429559 32111084474 35888859118 43579328929 64222168948 71777718236 87158657858 174317315716 305055302503 610110605006 1220221210012