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212021121212120 = 23511607793848739
BaseRepresentation
bin110000001101010100000011…
…100111010101111011011000
31000210201000120110222220111102
4300031110003213111323120
5210242223224012241440
62030533054120250532
762442010014555113
oct6015240347257330
91023630513886442
10212021121212120
116161371a5aa460
121b943144610a48
13913c6767230cc
143a4dc3c78957a
15197a2513a1b15
hexc0d5039d5ed8

212021121212120 has 64 divisors (see below), whose sum is σ = 521272836633600. Its totient is φ = 76971573636480.

The previous prime is 212021121212119. The next prime is 212021121212209. The reversal of 212021121212120 is 21212121120212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212021121212092 and 212021121212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396657290 + ... + 397191449.

It is an arithmetic number, because the mean of its divisors is an integer number (8144888072400).

Almost surely, 2212021121212120 is an apocalyptic number.

212021121212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021121212120 is an abundant number, since it is smaller than the sum of its proper divisors (309251715421480).

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

212021121212120 is a wasteful number, since it uses less digits than its factorization.

212021121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793849368 (or 793849364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212021121212120 its reverse (21212121120212), we get a palindrome (233233242332332).

The spelling of 212021121212120 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 607 1214 2428 3035 4856 6070 6677 12140 13354 24280 26708 33385 53416 66770 133540 267080 793848739 1587697478 3175394956 3969243695 6350789912 7938487390 8732336129 15876974780 17464672258 31753949560 34929344516 43661680645 69858689032 87323361290 174646722580 349293445160 481866184573 963732369146 1927464738292 2409330922865 3854929476584 4818661845730 5300528030303 9637323691460 10601056060606 19274647382920 21202112121212 26502640151515 42404224242424 53005280303030 106010560606060 212021121212120