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2121123312 = 2432711191299
BaseRepresentation
bin111111001101101…
…1100010111110000
312110211021020011200
41332123130113300
513321001421222
6550251011200
7103364151660
oct17633342760
95424236150
102121123312
11999356380
124b2439b00
1327a5a5669
141619c81a0
15c633aeac
hex7e6dc5f0

2121123312 has 120 divisors (see below), whose sum is σ = 7401014400. Its totient is φ = 550938240.

The previous prime is 2121123299. The next prime is 2121123341. The reversal of 2121123312 is 2133211212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84562 + ... + 106737.

It is an arithmetic number, because the mean of its divisors is an integer number (61675120).

Almost surely, 22121123312 is an apocalyptic number.

2121123312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2121123312 is an abundant number, since it is smaller than the sum of its proper divisors (5279891088).

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

2121123312 is a wasteful number, since it uses less digits than its factorization.

2121123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191331 (or 191322 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2121123312 is about 46055.6545062601. The cubic root of 2121123312 is about 1284.8585110709.

Adding to 2121123312 its reverse (2133211212), we get a palindrome (4254334524).

The spelling of 2121123312 in words is "two billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 191299 382598 573897 765196 1147794 1339093 1530392 1721691 2104289 2295588 2678186 3060784 3443382 4017279 4208578 4591176 5356372 6312867 6886764 8034558 8417156 9182352 10712744 12051837 12625734 13773528 14730023 16069116 16834312 18938601 21425488 24103674 25251468 27547056 29460046 32138232 33668624 37877202 44190069 48207348 50502936 58920092 64276464 75754404 88380138 96414696 101005872 117840184 132570207 151508808 176760276 192829392 235680368 265140414 303017616 353520552 530280828 707041104 1060561656 2121123312