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1220122102100 = 22521110727133821
BaseRepresentation
bin10001110000010100111…
…100011100100101010100
311022122100101222210211012
4101300110330130211110
5124442302224231400
62332303311031352
7154102522514516
oct21602474344524
94278311883735
101220122102100
114304a6133240
1217857450b558
138b0983742b5
14430a8b15bb6
1521b11524d35
hex11c14f1c954

1220122102100 has 144 divisors (see below), whose sum is σ = 2917193662656. Its totient is φ = 439257216000.

The previous prime is 1220122102099. The next prime is 1220122102123. The reversal of 1220122102100 is 12012210221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319318190 + ... + 319322010.

It is an arithmetic number, because the mean of its divisors is an integer number (20258289324).

Almost surely, 21220122102100 is an apocalyptic number.

1220122102100 is a gapful number since it is divisible by the number (10) 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 1220122102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458596831328).

1220122102100 is an abundant number, since it is smaller than the sum of its proper divisors (1697071560556).

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

1220122102100 is a wasteful number, since it uses less digits than its factorization.

1220122102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6659 counting only the distinct ones).

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

Adding to 1220122102100 its reverse (12012210221), we get a palindrome (1232134312321).

The spelling of 1220122102100 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 2713 3821 4708 5350 5426 5885 7642 10700 10852 11770 13565 15284 19105 23540 27130 29425 29843 38210 42031 54260 58850 59686 67825 76420 84062 95525 117700 119372 135650 149215 168124 191050 210155 271300 290291 298430 382100 408847 420310 580582 596860 746075 817694 840620 1050775 1161164 1451455 1492150 1635388 2044235 2101550 2902910 2984300 3193201 4088470 4203100 4497317 5805820 6386402 7257275 8176940 8994634 10221175 10366373 12772804 14514550 15966005 17989268 20442350 20732746 22486585 29029100 31932010 40884700 41465492 44973170 51831865 63864020 79830025 89946340 103663730 112432925 114030103 159660050 207327460 224865850 228060206 259159325 319320100 449731700 456120412 518318650 570150515 1036637300 1109201911 1140301030 2218403822 2280602060 2850752575 4436807644 5546009555 5701505150 11092019110 11403010300 12201221021 22184038220 24402442042 27730047775 48804884084 55460095550 61006105105 110920191100 122012210210 244024420420 305030525525 610061051050 1220122102100