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10122121222220 = 2257412716507143
BaseRepresentation
bin1001001101001011110101…
…1100001001100001001100
31022211122222000212010011202
42103102331130021201030
52311320101013102340
633310012134405032
72063204412533120
oct223227534114114
938748860763152
1010122121222220
113252849601857
121175899b00778
13585686951267
1426dcb0087580
15128476253c15
hex934bd70984c

10122121222220 has 96 divisors (see below), whose sum is σ = 24977437986816. Its totient is φ = 3373302412800.

The previous prime is 10122121222217. The next prime is 10122121222319. The reversal of 10122121222220 is 2222212122101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10122121222192 and 10122121222201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1698032 + ... + 4809111.

It is an arithmetic number, because the mean of its divisors is an integer number (260181645696).

Almost surely, 210122121222220 is an apocalyptic number.

10122121222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121222220 is an abundant number, since it is smaller than the sum of its proper divisors (14855316764596).

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

10122121222220 is a wasteful number, since it uses less digits than its factorization.

10122121222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507471 (or 6507469 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10122121222220 its reverse (2222212122101), we get a palindrome (12344333344321).

The spelling of 10122121222220 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 271 287 410 542 574 820 1084 1148 1355 1435 1897 2710 2870 3794 5420 5740 7588 9485 11111 18970 22222 37940 44444 55555 77777 111110 155554 222220 311108 388885 777770 1555540 6507143 13014286 26028572 32535715 45550001 65071430 91100002 130142860 182200004 227750005 266792863 455500010 533585726 911000020 1067171452 1333964315 1763435753 1867550041 2667928630 3526871506 3735100082 5335857260 7053743012 7470200164 8817178765 9337750205 12344050271 17634357530 18675500410 24688100542 35268715060 37351000820 49376201084 61720251355 72300865873 123440502710 144601731746 246881005420 289203463492 361504329365 506106061111 723008658730 1012212122222 1446017317460 2024424244444 2530530305555 5061060611110 10122121222220