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1200122001020 = 225475345175333
BaseRepresentation
bin10001011101101100110…
…110000111011001111100
311020201201120021101220202
4101131230312013121330
5124130322213013040
62315154535303032
7152464066460105
oct21355466073174
94221646241822
101200122001020
11422a72645288
1217471251aa78
138922b962667
144212c8053ac
1521340789015
hex1176cd8767c

1200122001020 has 96 divisors (see below), whose sum is σ = 2623514842368. Its totient is φ = 460781714432.

The previous prime is 1200122000981. The next prime is 1200122001031. The reversal of 1200122001020 is 201002210021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1200122000992 and 1200122001010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225034274 + ... + 225039606.

It is an arithmetic number, because the mean of its divisors is an integer number (27328279608).

Almost surely, 21200122001020 is an apocalyptic number.

1200122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200122001020 is an abundant number, since it is smaller than the sum of its proper divisors (1423392841348).

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

1200122001020 is a wasteful number, since it uses less digits than its factorization.

1200122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9957 counting only the distinct ones).

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

Adding to 1200122001020 its reverse (201002210021), we get a palindrome (1401124211041).

The spelling of 1200122001020 in words is "one trillion, two hundred billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 53 94 106 188 212 235 265 470 530 940 1060 2491 4517 4982 5333 9034 9964 10666 12455 18068 21332 22585 24910 26665 45170 49820 53330 90340 106660 212299 239401 250651 282649 424598 478802 501302 565298 849196 957604 1002604 1061495 1130596 1197005 1253255 1413245 2122990 2394010 2506510 2826490 4245980 4788020 5013020 5652980 11251847 13284503 22503694 24089161 26569006 45007388 48178322 53138012 56259235 66422515 96356644 112518470 120445805 132845030 225036940 240891610 265690060 481783220 1132190567 1276725533 2264381134 2553451066 4528762268 5106902132 5660952835 6383627665 11321905670 12767255330 22643811340 25534510660 60006100051 120012200102 240024400204 300030500255 600061000510 1200122001020