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212000000020120 = 235132914058355439
BaseRepresentation
bin110000001101000000011000…
…101100011000111010011000
31000210122000001111202011222001
4300031000120230120322120
5210241402000001120440
62030515242220010344
762440331426442634
oct6015003054307230
91023560044664861
10212000000020120
1161605771201284
121b93b02b0909b4
13913a68b987970
143a4cbd7609dc4
151979916eb5b9a
hexc0d018b18e98

212000000020120 has 64 divisors (see below), whose sum is σ = 531405835632000. Its totient is φ = 75577718834688.

The previous prime is 212000000020079. The next prime is 212000000020181. The reversal of 212000000020120 is 21020000000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212000000020097 and 212000000020106.

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, 7029162640 + ... + 7029192799.

It is an arithmetic number, because the mean of its divisors is an integer number (8303216181750).

Almost surely, 2212000000020120 is an apocalyptic number.

212000000020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000000020120 is an abundant number, since it is smaller than the sum of its proper divisors (319405835611880).

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

212000000020120 is a wasteful number, since it uses less digits than its factorization.

212000000020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14058355492 (or 14058355488 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212000000020120 its reverse (21020000000212), we get a palindrome (233020000020332).

The spelling of 212000000020120 in words is "two hundred twelve trillion, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 14058355439 28116710878 56233421756 70291777195 112466843512 140583554390 182758620707 281167108780 365517241414 407692307731 562334217560 731034482828 815384615462 913793103535 1462068965656 1630769230924 1827586207070 2038461538655 3261538461848 3655172414140 4076923077310 5300000000503 7310344828280 8153846154620 10600000001006 16307692309240 21200000002012 26500000002515 42400000004024 53000000005030 106000000010060 212000000020120