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212022010220120 = 2351923312636912153
BaseRepresentation
bin110000001101010100111000…
…100110101000111001011000
31000210201002212102211012012122
4300031110320212220321120
5210242232034104020440
62030533322235000412
762442041031163142
oct6015247046507130
91023632772735178
10212022010220120
1161614036404311
121b943352299108
13913c78896b549
143a4dcc4883c92
15197a2a445b7b5
hexc0d5389a8e58

212022010220120 has 512 divisors, whose sum is σ = 543988157644800. Its totient is φ = 73948449484800.

The previous prime is 212022010219993. The next prime is 212022010220123. The reversal of 212022010220120 is 21022010220212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022010220123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98477476964 + ... + 98477479116.

It is an arithmetic number, because the mean of its divisors is an integer number (1062476870400).

Almost surely, 2212022010220120 is an apocalyptic number.

212022010220120 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 212022010220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271994078822400).

212022010220120 is an abundant number, since it is smaller than the sum of its proper divisors (331966147424680).

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

212022010220120 is a wasteful number, since it uses less digits than its factorization.

212022010220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212022010220120 its reverse (21022010220212), we get a palindrome (233044020440332).

The spelling of 212022010220120 in words is "two hundred twelve trillion, twenty-two billion, ten million, two hundred twenty thousand, one hundred twenty".