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2122020020120 = 2357111321392211
BaseRepresentation
bin11110111000010010001…
…111111101111110011000
321111212022020001010010112
4132320102033331332120
5234231344111120440
64302501553303452
7306211430363660
oct36702217757630
97455266033115
102122020020120
11748a41a86a20
122a3318264b88
1312514b0b5400
14749c61c31a0
153a2ea49c965
hex1ee123fdf98

2122020020120 has 576 divisors, whose sum is σ = 6523277379840. Its totient is φ = 603266227200.

The previous prime is 2122020020117. The next prime is 2122020020143. The reversal of 2122020020120 is 210200202212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2122020020095 and 2122020020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10056966815 + ... + 10056967025.

It is an arithmetic number, because the mean of its divisors is an integer number (11325134340).

Almost surely, 22122020020120 is an apocalyptic number.

2122020020120 is a gapful number since it is divisible by the number (20) 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 2122020020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261638689920).

2122020020120 is an abundant number, since it is smaller than the sum of its proper divisors (4401257359720).

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

2122020020120 is a wasteful number, since it uses less digits than its factorization.

2122020020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122020020120 its reverse (210200202212), we get a palindrome (2332220222332).

The spelling of 2122020020120 in words is "two trillion, one hundred twenty-two billion, twenty million, twenty thousand, one hundred twenty".