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21221201120 = 2557113167677
BaseRepresentation
bin10011110000111000…
…011101010011100000
32000202221102201020212
4103300320131103200
5321430111413440
613425431553252
71350611143010
oct236070352340
960687381225
1021221201120
118aaa8a6549
124142b2b828
1320026b3152
141054573c40
15843093465
hex4f0e1d4e0

21221201120 has 96 divisors (see below), whose sum is σ = 57804643008. Its totient is φ = 7211409408.

The previous prime is 21221201117. The next prime is 21221201129. The reversal of 21221201120 is 2110212212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21221201095 and 21221201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221201129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42722 + ... + 210398.

It is an arithmetic number, because the mean of its divisors is an integer number (602131698).

Almost surely, 221221201120 is an apocalyptic number.

21221201120 is a gapful number since it is divisible by the number (20) 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 21221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28902321504).

21221201120 is an abundant number, since it is smaller than the sum of its proper divisors (36583441888).

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

21221201120 is a wasteful number, since it uses less digits than its factorization.

21221201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167812 (or 167804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21221201120 its reverse (2110212212), we get a palindrome (23331413332).

The spelling of 21221201120 in words is "twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1808 2260 3164 3616 3955 4520 6328 7910 9040 12656 15820 18080 25312 31640 63280 126560 167677 335354 670708 838385 1173739 1341416 1676770 2347478 2682832 3353540 4694956 5365664 5868695 6707080 9389912 11737390 13414160 18779824 18947501 23474780 26828320 37559648 37895002 46949560 75790004 93899120 94737505 132632507 151580008 187798240 189475010 265265014 303160016 378950020 530530028 606320032 663162535 757900040 1061060056 1326325070 1515800080 2122120112 2652650140 3031600160 4244240224 5305300280 10610600560 21221201120