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200221000212012 = 2231312740151251701
BaseRepresentation
bin101101100001100110010101…
…100110000001111000101100
3222020220221101202112001020220
4231201212111212001320230
5202220410102023241022
61545500131355011340
760113330015161443
oct5541462546017054
9866827352461226
10200221000212012
115888428196166a
121a558207a39b50
1387949b42684c0
143762a68b91d5a
15182331aea385c
hexb61995981e2c

200221000212012 has 96 divisors (see below), whose sum is σ = 507095650811904. Its totient is φ = 61119606240000.

The previous prime is 200221000211983. The next prime is 200221000212019. The reversal of 200221000212012 is 210212000122002.

It is a junction number, because it is equal to n+sod(n) for n = 200221000211982 and 200221000212000.

It is not an unprimeable number, because it can be changed into a prime (200221000212019) 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, 795345762 + ... + 795597462.

It is an arithmetic number, because the mean of its divisors is an integer number (5282246362624).

Almost surely, 2200221000212012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200221000212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253547825405952).

200221000212012 is an abundant number, since it is smaller than the sum of its proper divisors (306874650599892).

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

200221000212012 is a wasteful number, since it uses less digits than its factorization.

200221000212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291999 (or 291997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200221000212012 its reverse (210212000122002), we get a palindrome (410433000334014).

The spelling of 200221000212012 in words is "two hundred trillion, two hundred twenty-one billion, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 3302 4953 6604 9906 19812 40151 80302 120453 160604 240906 251701 481812 503402 521963 755103 1006804 1043926 1510206 1565889 2087852 3020412 3131778 3272113 5099177 6263556 6544226 9816339 10198354 13088452 15297531 19632678 20396708 30595062 31966027 39265356 61190124 63932054 66289301 95898081 127864108 132578602 191796162 198867903 265157204 383592324 397735806 415558351 795471612 831116702 1246675053 1662233404 2493350106 4986700212 10106046851 20212093702 30318140553 40424187404 60636281106 121272562212 131378609063 262757218126 394135827189 525514436252 788271654378 1283467950077 1576543308756 2566935900154 3850403850231 5133871800308 7700807700462 15401615400924 16685083351001 33370166702002 50055250053003 66740333404004 100110500106006 200221000212012