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200212012011220 = 225111981159059939
BaseRepresentation
bin101101100001011101111101…
…110110110000111011010100
3222020220002012100122010201021
4231201131331312300323110
5202220233200033324340
61545452043434410524
760112561204552426
oct5541357566607324
9866802170563637
10200212012011220
115888048a29a350
121a556519890a44
138793bb10899b1
14376245516c816
151822e91d57e4a
hexb6177ddb0ed4

200212012011220 has 96 divisors (see below), whose sum is σ = 483403246502400. Its totient is φ = 68887511683200.

The previous prime is 200212012011217. The next prime is 200212012011229. The reversal of 200212012011220 is 22110210212002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200212012011194 and 200212012011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212012011229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26139990 + ... + 32919949.

It is an arithmetic number, because the mean of its divisors is an integer number (5035450484400).

Almost surely, 2200212012011220 is an apocalyptic number.

200212012011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212012011220 is an abundant number, since it is smaller than the sum of its proper divisors (283191234491180).

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

200212012011220 is a wasteful number, since it uses less digits than its factorization.

200212012011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59060789 (or 59060787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212012011220 its reverse (22110210212002), we get a palindrome (222322222223222).

The spelling of 200212012011220 in words is "two hundred trillion, two hundred twelve billion, twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 811 836 1045 1622 2090 3244 4055 4180 8110 8921 15409 16220 17842 30818 35684 44605 61636 77045 89210 154090 169499 178420 308180 338998 677996 847495 1694990 3389980 59059939 118119878 236239756 295299695 590599390 649659329 1122138841 1181198780 1299318658 2244277682 2598637316 3248296645 4488555364 5610694205 6496593290 11221388410 12343527251 12993186580 22442776820 24687054502 47897610529 49374109004 61717636255 95795221058 123435272510 191590442116 239488052645 246870545020 478976105290 526873715819 910054600051 957952210580 1053747431638 1820109200102 2107494863276 2634368579095 3640218400204 4550273000255 5268737158190 9100546000510 10010600600561 10537474316380 18201092001020 20021201201122 40042402402244 50053003002805 100106006005610 200212012011220