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11220121002000 = 243531870020167
BaseRepresentation
bin1010001101000110001101…
…0100111010000000010000
31110201122002112011011121010
42203101203110322000100
52432312301434031000
635510241420330520
72235425025630621
oct243214324720020
943648075134533
1011220121002000
113636476885789
12131264b9a3a40
1363508c205b71
142ab0b1a39a48
15146cdb2ebd50
hexa346353a010

11220121002000 has 80 divisors (see below), whose sum is σ = 36173670129792. Its totient is φ = 2992032265600.

The previous prime is 11220121001983. The next prime is 11220121002017. The reversal of 11220121002000 is 20012102211.

It is an interprime number because it is at equal distance from previous prime (11220121001983) and next prime (11220121002017).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112201210020002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935004084 + ... + 935016083.

Almost surely, 211220121002000 is an apocalyptic number.

11220121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220121002000 is an abundant number, since it is smaller than the sum of its proper divisors (24953549127792).

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

11220121002000 is a wasteful number, since it uses less digits than its factorization.

11220121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870020193 (or 1870020177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220121002000 its reverse (20012102211), we get a palindrome (11240133104211).

The spelling of 11220121002000 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1870020167 3740040334 5610060501 7480080668 9350100835 11220121002 14960161336 18700201670 22440242004 28050302505 29920322672 37400403340 44880484008 46750504175 56100605010 74800806680 89760968016 93501008350 112201210020 140251512525 149601613360 187002016700 224402420040 233752520875 280503025050 374004033400 448804840080 467505041750 561006050100 701257562625 748008066800 935010083500 1122012100200 1402515125250 1870020167000 2244024200400 2805030250500 3740040334000 5610060501000 11220121002000