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12220121010000 = 24354407337367
BaseRepresentation
bin1011000111010011011111…
…1110001100111101010000
31121021020021020121000001110
42301310313332030331100
53100203301434310000
641553502431133320
72400605663512161
oct261646776147520
947236236530043
1012220121010000
113991584806692
121454411974240
136a84774a5227
14303658085768
15162d17a65850
hexb1d37f8cf50

12220121010000 has 100 divisors (see below), whose sum is σ = 39448180066592. Its totient is φ = 3258698928000.

The previous prime is 12220121009947. The next prime is 12220121010001. The reversal of 12220121010000 is 1012102221.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220121010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203638684 + ... + 203698683.

Almost surely, 212220121010000 is an apocalyptic number.

12220121010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220121010000 is an abundant number, since it is smaller than the sum of its proper divisors (27228059056592).

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

12220121010000 is an equidigital number, since it uses as much as digits as its factorization.

12220121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407337398 (or 407337377 counting only the distinct ones).

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

Adding to 12220121010000 its reverse (1012102221), we get a palindrome (12221133112221).

The spelling of 12220121010000 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-one million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 407337367 814674734 1222012101 1629349468 2036686835 2444024202 3258698936 4073373670 4888048404 6110060505 6517397872 8146747340 9776096808 10183434175 12220121010 16293494680 19552193616 20366868350 24440242020 30550302525 32586989360 40733736700 48880484040 50917170875 61100605050 81467473400 97760968080 101834341750 122201210100 152751512625 162934946800 203668683500 244402420200 254585854375 305503025250 407337367000 488804840400 509171708750 611006050500 763757563125 814674734000 1018343417500 1222012101000 1527515126250 2036686835000 2444024202000 3055030252500 4073373670000 6110060505000 12220121010000