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121101221100020 = 225719724671779857
BaseRepresentation
bin11011100010010000010011…
…010000111111100111110100
3120212210011102022120002222212
4123202100103100333213310
5111333110300100200040
61105321044414512552
734336163103120110
oct3342202320774764
9525704368502885
10121101221100020
113564a815232777
12116ba289b05758
135275a471a6425
1421c948a79a740
15e001c240dd65
hex6e241343f9f4

121101221100020 has 96 divisors (see below), whose sum is σ = 292236849983232. Its totient is φ = 41292887021568.

The previous prime is 121101221099923. The next prime is 121101221100029. The reversal of 121101221100020 is 20001122101121.

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 = 121101221099968 and 121101221100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101221100029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67149932 + ... + 68929788.

It is an arithmetic number, because the mean of its divisors is an integer number (3044133853992).

Almost surely, 2121101221100020 is an apocalyptic number.

121101221100020 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 121101221100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146118424991616).

121101221100020 is an abundant number, since it is smaller than the sum of its proper divisors (171135628883212).

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

121101221100020 is a wasteful number, since it uses less digits than its factorization.

121101221100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782537 (or 1782535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121101221100020 its reverse (20001122101121), we get a palindrome (141102343201141).

The spelling of 121101221100020 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2467 2758 3940 4934 5516 6895 9868 12335 13790 17269 24670 27580 34538 49340 69076 86345 172690 345380 485999 971998 1779857 1943996 2429995 3401993 3559714 4859990 6803986 7119428 8899285 9719980 12458999 13607972 17009965 17798570 24917998 34019930 35597140 49835996 62294995 68039860 124589990 249179980 350631829 701263658 1402527316 1753159145 2454422803 3506318290 4390907219 4908845606 7012636580 8781814438 9817691212 12272114015 17563628876 21954536095 24544228030 30736350533 43909072190 49088456060 61472701066 87818144380 122945402132 153681752665 307363505330 614727010660 865008722143 1730017444286 3460034888572 4325043610715 6055061055001 8650087221430 12110122110002 17300174442860 24220244220004 30275305275005 60550610550010 121101221100020