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1212212021100 = 2235223356330803
BaseRepresentation
bin10001101000111101011…
…101111000011101101100
311021212221010210001121020
4101220331131320131230
5124330102234133400
62324514342334140
7153402513112053
oct21507535703554
94255833701536
101212212021100
114281070a1313
12176b2742a350
138a4076552b2
144295837739a
15217ebd8c2a0
hex11a3d77876c

1212212021100 has 144 divisors (see below), whose sum is σ = 3528757395072. Its totient is φ = 321287037440.

The previous prime is 1212212021071. The next prime is 1212212021161. The reversal of 1212212021100 is 11202122121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212212021100.

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 47 ways as a sum of consecutive naturals, for example, 39338299 + ... + 39369101.

It is an arithmetic number, because the mean of its divisors is an integer number (24505259688).

Almost surely, 21212212021100 is an apocalyptic number.

1212212021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764378697536).

1212212021100 is an abundant number, since it is smaller than the sum of its proper divisors (2316545373972).

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

1212212021100 is a wasteful number, since it uses less digits than its factorization.

1212212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31616 (or 31609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212212021100 its reverse (11202122121), we get a palindrome (1223414143221).

The spelling of 1212212021100 in words is "one trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 563 699 932 1126 1165 1398 1689 2252 2330 2796 2815 3378 3495 4660 5630 5825 6756 6990 8445 11260 11650 13980 14075 16890 17475 23300 28150 30803 33780 34950 42225 56300 61606 69900 84450 92409 123212 131179 154015 168900 184818 262358 308030 369636 393537 462045 524716 616060 655895 770075 787074 924090 1311790 1540150 1574148 1848180 1967685 2310225 2623580 3080300 3279475 3935370 4620450 6558950 7177099 7870740 9240900 9838425 13117900 14354198 17342089 19676850 21531297 28708396 34684178 35885495 39353700 43062594 52026267 69368356 71770990 86125188 86710445 104052534 107656485 143541980 173420890 179427475 208105068 215312970 260131335 346841780 358854950 430625940 433552225 520262670 538282425 717709900 867104450 1040525340 1076564850 1300656675 1734208900 2153129700 2601313350 4040706737 5202626700 8081413474 12122120211 16162826948 20203533685 24244240422 40407067370 48488480844 60610601055 80814134740 101017668425 121221202110 202035336850 242442404220 303053005275 404070673700 606106010550 1212212021100