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21221102212112 = 24114116770125121
BaseRepresentation
bin1001101001100111011000…
…10000100101010000010000
32210010201101002201001122202
410310303230100211100100
510240141304131241422
6113044501220222332
74320113460410135
oct464635420452020
983121332631582
1021221102212112
116841900a69450
12246896023a9a8
13bac1ab71cb8a
1453516d1c458c
1526c02245db92
hex134cec425410

21221102212112 has 160 divisors (see below), whose sum is σ = 46290602711808. Its totient is φ = 9340620800000.

The previous prime is 21221102212111. The next prime is 21221102212129. The reversal of 21221102212112 is 21121220112212.

It is not an unprimeable number, because it can be changed into a prime (21221102212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844742912 + ... + 844768032.

Almost surely, 221221102212112 is an apocalyptic number.

21221102212112 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 21221102212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145301355904).

21221102212112 is an abundant number, since it is smaller than the sum of its proper divisors (25069500499696).

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

21221102212112 is a wasteful number, since it uses less digits than its factorization.

21221102212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26049 (or 26043 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21221102212112 its reverse (21121220112212), we get a palindrome (42342322324324).

The spelling of 21221102212112 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 167 176 328 334 451 656 668 701 902 1336 1402 1804 1837 2672 2804 3608 3674 5608 6847 7216 7348 7711 11216 13694 14696 15422 25121 27388 28741 29392 30844 50242 54776 57482 61688 75317 100484 109552 114964 117067 123376 150634 200968 229928 234134 276331 301268 316151 401936 459856 468268 552662 602536 632302 936536 1029961 1105324 1205072 1264604 1287737 1873072 2059922 2210648 2529208 2575474 4119844 4195207 4421296 4799747 5058416 5150948 8239688 8390414 9599494 10301896 11329571 16479376 16780828 17609821 19198988 20603792 22659142 33561656 35219642 38397976 45318284 46147277 52797217 67123312 70439284 76795952 90636568 92294554 105594434 140878568 172003487 181273136 184589108 193708031 211188868 281757136 344006974 369178216 387416062 422377736 688013948 722002661 738356432 774832124 844755472 1376027896 1444005322 1549664248 1892038357 2752055792 2888010644 2940840107 3099328496 3784076714 5776021288 5881680214 7568153428 7942029271 11552042576 11763360428 15136306856 15884058542 23526720856 30272613712 31768117084 32349241177 47053441712 63536234168 64698482354 120574444387 127072468336 129396964708 241148888774 258793929416 482297777548 517587858832 964595555096 1326318888257 1929191110192 2652637776514 5305275553028 10610551106056 21221102212112