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12122000201020 = 2251910323006881
BaseRepresentation
bin1011000001100101111110…
…0001000001010100111100
31120220212000000222110021011
42300121133201001110330
53042101324022413040
641440434153445004
72360533315424533
oct260313741012474
946825000873234
1012122000201020
113953a03103616
1214393a9410764
1369c13b0c1948
142dc9ca83331a
151604c37c83ea
hexb065f84153c

12122000201020 has 72 divisors (see below), whose sum is σ = 27058690567440. Its totient is φ = 4549000504320.

The previous prime is 12122000200997. The next prime is 12122000201029. The reversal of 12122000201020 is 2010200022121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122000201029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2527980 + ... + 5534860.

It is an arithmetic number, because the mean of its divisors is an integer number (375815146770).

Almost surely, 212122000201020 is an apocalyptic number.

12122000201020 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 12122000201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529345283720).

12122000201020 is an abundant number, since it is smaller than the sum of its proper divisors (14936690366420).

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

12122000201020 is a wasteful number, since it uses less digits than its factorization.

12122000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007115 (or 3007010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12122000201020 its reverse (2010200022121), we get a palindrome (14132200223141).

The spelling of 12122000201020 in words is "twelve trillion, one hundred twenty-two billion, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1957 2060 3914 7828 9785 10609 19570 21218 39140 42436 53045 106090 201571 212180 403142 806284 1007855 2015710 3006881 4031420 6013762 12027524 15034405 30068810 57130739 60137620 114261478 228522956 285653695 309708743 571307390 619417486 1142614780 1238834972 1548543715 3097087430 5884466117 6194174860 11768932234 23537864468 29422330585 31900000529 58844661170 63800001058 117689322340 127600002116 159500002645 319000005290 606100010051 638000010580 1212200020102 2424400040204 3030500050255 6061000100510 12122000201020