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12220203413400 = 2335229702310541
BaseRepresentation
bin1011000111010011110011…
…1000100010111110011000
31121021020110222122112021020
42301310330320202332120
53100203434033212100
641553514533242440
72400611014105263
oct261647470427630
947236428575236
1012220203413400
113991617279574
121454435493420
136a848b597538
14303664db5cda
15162d1ede15a0
hexb1d3ce22f98

12220203413400 has 96 divisors (see below), whose sum is σ = 39188928243600. Its totient is φ = 3146351219200.

The previous prime is 12220203413399. The next prime is 12220203413437. The reversal of 12220203413400 is 431430202221.

It is a happy number.

It is a super-2 number, since 2×122202034134002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351137871 + ... + 351172670.

Almost surely, 212220203413400 is an apocalyptic number.

12220203413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220203413400 is an abundant number, since it is smaller than the sum of its proper divisors (26968724830200).

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

12220203413400 is a wasteful number, since it uses less digits than its factorization.

12220203413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702310589 (or 702310580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12220203413400 its reverse (431430202221), we get a palindrome (12651633615621).

The spelling of 12220203413400 in words is "twelve trillion, two hundred twenty billion, two hundred three million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 702310541 1404621082 2106931623 2809242164 3511552705 4213863246 5618484328 7023105410 8427726492 10534658115 14046210820 16855452984 17557763525 20367005689 21069316230 28092421640 35115527050 40734011378 42138632460 52673290575 61101017067 70231054100 81468022756 84277264920 101835028445 105346581150 122202034134 140462108200 162936045512 203670056890 210693162300 244404068268 305505085335 407340113780 421386324600 488808136536 509175142225 611010170670 814680227560 1018350284450 1222020341340 1527525426675 2036700568900 2444040682680 3055050853350 4073401137800 6110101706700 12220203413400