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12002201100020 = 22531162111942251
BaseRepresentation
bin1010111010100111101011…
…1011101101111011110100
31120111101210000211120101102
42232221322323231323310
53033121001440200040
641305422435145232
72346062506032515
oct256517273557364
946441700746342
1012002201100020
11390811769592a
12141a134a45218
13690a58717b31
142d6ca4064a0c
1515c3112a8515
hexaea7aeedef4

12002201100020 has 48 divisors (see below), whose sum is σ = 26033727207936. Its totient is φ = 4643146800000.

The previous prime is 12002201099923. The next prime is 12002201100049. The reversal of 12002201100020 is 2000110220021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12002201099974 and 12002201100010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4966106 + ... + 6976145.

It is an arithmetic number, because the mean of its divisors is an integer number (542369316832).

Almost surely, 212002201100020 is an apocalyptic number.

12002201100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002201100020 is an abundant number, since it is smaller than the sum of its proper divisors (14031526107916).

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

12002201100020 is a wasteful number, since it uses less digits than its factorization.

12002201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943912 (or 11943910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002201100020 its reverse (2000110220021), we get a palindrome (14002311320041).

The spelling of 12002201100020 in words is "twelve trillion, two billion, two hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1621 3242 6484 8105 16210 32420 50251 100502 201004 251255 502510 1005020 11942251 23884502 47769004 59711255 119422510 238845020 370209781 740419562 1480839124 1851048905 3702097810 7404195620 19358388871 38716777742 77433555484 96791944355 193583888710 387167777420 600110055001 1200220110002 2400440220004 3000550275005 6001100550010 12002201100020