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212011010012120 = 235113071569521839
BaseRepresentation
bin110000001101001010101000…
…111100001011001111011000
31000210200001110210222201122112
4300031022220330023033120
5210242042022030341440
62030524302522211452
762441201320022654
oct6015125074131730
91023601423881575
10212011010012120
116160a401044220
121b9411a2353b88
13913b7249a0327
143a4d55d95ba64
151979d5d87a965
hexc0d2a8f0b3d8

212011010012120 has 64 divisors (see below), whose sum is σ = 522085744857600. Its totient is φ = 76843789188480.

The previous prime is 212011010012099. The next prime is 212011010012147. The reversal of 212011010012120 is 21210010110212.

It is a junction number, because it is equal to n+sod(n) for n = 212011010012095 and 212011010012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784625840 + ... + 784895999.

It is an arithmetic number, because the mean of its divisors is an integer number (8157589763400).

Almost surely, 2212011010012120 is an apocalyptic number.

212011010012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011010012120 is an abundant number, since it is smaller than the sum of its proper divisors (310074734845480).

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

212011010012120 is a wasteful number, since it uses less digits than its factorization.

212011010012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569522168 (or 1569522164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011010012120 its reverse (21210010110212), we get a palindrome (233221020122332).

The spelling of 212011010012120 in words is "two hundred twelve trillion, eleven billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 307 440 614 1228 1535 2456 3070 3377 6140 6754 12280 13508 16885 27016 33770 67540 135080 1569521839 3139043678 6278087356 7847609195 12556174712 15695218390 17264740229 31390436780 34529480458 62780873560 69058960916 86323701145 138117921832 172647402290 345294804580 481843204573 690589609160 963686409146 1927372818292 2409216022865 3854745636584 4818432045730 5300275250303 9636864091460 10600550500606 19273728182920 21201101001212 26501376251515 42402202002424 53002752503030 106005505006060 212011010012120