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212233403124120 = 23357252658813243
BaseRepresentation
bin110000010000011001110000…
…100110100100100110011000
31000211110022111202212100220110
4300100121300212210212120
5210304213002144432440
62031214402430324320
762463233402211540
oct6020316046444630
91024408452770813
10212233403124120
1161695754171954
121b9783093596a0
1391566a7410821
143a5a219ab0320
151980a27bd1080
hexc106709a4998

212233403124120 has 64 divisors (see below), whose sum is σ = 727657382142720. Its totient is φ = 48510492142464.

The previous prime is 212233403124109. The next prime is 212233403124139. The reversal of 212233403124120 is 21421304332212.

It is a happy number.

It is a super-2 number, since 2×2122334031241202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 126329405782 + ... + 126329407461.

It is an arithmetic number, because the mean of its divisors is an integer number (11369646595980).

Almost surely, 2212233403124120 is an apocalyptic number.

212233403124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233403124120 is an abundant number, since it is smaller than the sum of its proper divisors (515423979018600).

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

212233403124120 is a wasteful number, since it uses less digits than its factorization.

212233403124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252658813264 (or 252658813260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 212233403124120 its reverse (21421304332212), we get a palindrome (233654707456332).

The spelling of 212233403124120 in words is "two hundred twelve trillion, two hundred thirty-three billion, four hundred three million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 252658813243 505317626486 757976439729 1010635252972 1263294066215 1515952879458 1768611692701 2021270505944 2526588132430 3031905758916 3537223385402 3789882198645 5053176264860 5305835078103 6063811517832 7074446770804 7579764397290 8843058463505 10106352529720 10611670156206 14148893541608 15159528794580 17686116927010 21223340312412 26529175390515 30319057589160 35372233854020 42446680624824 53058350781030 70744467708040 106116701562060 212233403124120