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212144440034120 = 23511894915387653
BaseRepresentation
bin110000001111000110111001…
…111111010100001101001000
31000211010210212210010010220012
4300033012321333110031020
5210301233303122042440
62031105451010451052
762453633663344316
oct6017067177241510
91024123783103805
10212144440034120
1161660a51894680
121b96301b893a88
13914b19a37c979
143a55bba7ab0b6
15197d56c8c6e65
hexc0f1b9fd4348

212144440034120 has 64 divisors (see below), whose sum is σ = 520724086309440. Its totient is φ = 77142556396800.

The previous prime is 212144440034099. The next prime is 212144440034123. The reversal of 212144440034120 is 21430044441212.

212144440034120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212144440034123) 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, 36682214 + ... + 42069866.

It is an arithmetic number, because the mean of its divisors is an integer number (8136313848585).

Almost surely, 2212144440034120 is an apocalyptic number.

212144440034120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212144440034120 is an abundant number, since it is smaller than the sum of its proper divisors (308579646275320).

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

212144440034120 is a wasteful number, since it uses less digits than its factorization.

212144440034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477166 (or 5477162 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212144440034120 its reverse (21430044441212), we get a palindrome (233574484475332).

The spelling of 212144440034120 in words is "two hundred twelve trillion, one hundred forty-four billion, four hundred forty million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 89491 178982 357964 447455 715928 894910 984401 1789820 1968802 3579640 3937604 4922005 5387653 7875208 9844010 10775306 19688020 21550612 26938265 39376040 43101224 53876530 59264183 107753060 118528366 215506120 237056732 296320915 474113464 592641830 1185283660 2370567320 482146454623 964292909246 1928585818492 2410732273115 3857171636984 4821464546230 5303611000853 9642929092460 10607222001706 19285858184920 21214444003412 26518055004265 42428888006824 53036110008530 106072220017060 212144440034120