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212210020120 = 235717312236449
BaseRepresentation
bin1100010110100010110…
…0111110111100011000
3202021202021120222021211
43011220230332330120
511434101231120440
6241253221112504
721221522260210
oct3055054767430
9667667528254
10212210020120
1181aa802a01a
1235164858734
131701bb38a57
14a3b196d240
1557c037ceea
hex3168b3ef18

212210020120 has 256 divisors, whose sum is σ = 599187456000. Its totient is φ = 65961492480.

The previous prime is 212210020073. The next prime is 212210020123. The reversal of 212210020120 is 21020012212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212210020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210020123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32902656 + ... + 32909104.

It is an arithmetic number, because the mean of its divisors is an integer number (2340576000).

Almost surely, 2212210020120 is an apocalyptic number.

212210020120 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 212210020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299593728000).

212210020120 is an abundant number, since it is smaller than the sum of its proper divisors (386977435880).

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

212210020120 is a wasteful number, since it uses less digits than its factorization.

212210020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6734 counting only the distinct ones).

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

Adding to 212210020120 its reverse (21020012212), we get a palindrome (233230032332).

The spelling of 212210020120 in words is "two hundred twelve billion, two hundred ten million, twenty thousand, one hundred twenty".