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212012102120240 = 24517243763968507
BaseRepresentation
bin110000001101001011101010…
…000010001111001100110000
31000210200011021220222120100102
4300031023222002033030300
5210242101241120321430
62030525003134011532
762441240350546442
oct6015135202171460
91023604256876312
10212012102120240
116160a911559214
121b941448046ba8
13913b86a019b56
143a4d624a04492
151979dc46a3345
hexc0d2ea08f330

212012102120240 has 80 divisors (see below), whose sum is σ = 522138084943392. Its totient is φ = 79783567675392.

The previous prime is 212012102120239. The next prime is 212012102120249. The reversal of 212012102120240 is 42021201210212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212012102120249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28669934 + ... + 35298573.

Almost surely, 2212012102120240 is an apocalyptic number.

212012102120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012102120240 is an abundant number, since it is smaller than the sum of its proper divisors (310125982823152).

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

212012102120240 is a wasteful number, since it uses less digits than its factorization.

212012102120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63970974 (or 63970968 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212012102120240 its reverse (42021201210212), we get a palindrome (254033303330452).

The spelling of 212012102120240 in words is "two hundred twelve trillion, twelve billion, one hundred two million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2437 4874 9748 12185 19496 24370 38992 41429 48740 82858 97480 165716 194960 207145 331432 414290 662864 828580 1657160 3314320 63968507 127937014 255874028 319842535 511748056 639685070 1023496112 1087464619 1279370140 2174929238 2558740280 4349858476 5117480560 5437323095 8699716952 10874646190 17399433904 21749292380 43498584760 86997169520 155891251559 311782503118 623565006236 779456257795 1247130012472 1558912515590 2494260024944 2650151276503 3117825031180 5300302553006 6235650062360 10600605106012 12471300124720 13250756382515 21201210212024 26501512765030 42402420424048 53003025530060 106006051060120 212012102120240