Search a number
-
+
12213312232200 = 2335241496476107
BaseRepresentation
bin1011000110111010001000…
…1000110001101100001000
31121020120200201200020210220
42301232202020301230020
53100100330412412300
641550415043310040
72400245156041062
oct261564210615410
947216621606726
1012213312232200
11398970039a0a2
12145303167b320
136a79309a2121
143031adaa4732
15162a69e1eda0
hexb1ba2231b08

12213312232200 has 96 divisors (see below), whose sum is σ = 38784713556960. Its totient is φ = 3177447078400.

The previous prime is 12213312232139. The next prime is 12213312232217. The reversal of 12213312232200 is 223221331221.

It is a super-2 number, since 2×122133122322002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248213454 + ... + 248262653.

It is an arithmetic number, because the mean of its divisors is an integer number (404007432885).

Almost surely, 212213312232200 is an apocalyptic number.

12213312232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213312232200 is an abundant number, since it is smaller than the sum of its proper divisors (26571401324760).

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

12213312232200 is a wasteful number, since it uses less digits than its factorization.

12213312232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496476167 (or 496476158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12213312232200 its reverse (223221331221), we get a palindrome (12436533563421).

The spelling of 12213312232200 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 496476107 992952214 1489428321 1985904428 2482380535 2978856642 3971808856 4964761070 5957713284 7447141605 9929522140 11915426568 12411902675 14894283210 19859044280 20355520387 24823805350 29788566420 37235708025 40711040774 49647610700 59577132840 61066561161 74471416050 81422081548 99295221400 101777601935 122133122322 148942832100 162844163096 203555203870 244266244644 297885664200 305332805805 407110407740 488532489288 508888009675 610665611610 814220815480 1017776019350 1221331223220 1526664029025 2035552038700 2442662446440 3053328058050 4071104077400 6106656116100 12213312232200