Search a number
-
+
12222200102200 = 23521121015000491
BaseRepresentation
bin1011000111011011001111…
…1001010011110100111000
31121021102122010202211101021
42301312303321103310320
53100222031211232300
641554445021232224
72401011340506364
oct261666371236470
947242563684337
1012222200102200
113992451364400
1214548b2102674
136a87191526ba
143037b424c2a4
15162dda34cd1a
hexb1db3e53d38

12222200102200 has 144 divisors (see below), whose sum is σ = 31544053629480. Its totient is φ = 4400431200000.

The previous prime is 12222200102083. The next prime is 12222200102207. The reversal of 12222200102200 is 220100222221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222200102207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56046 + ... + 4944445.

Almost surely, 212222200102200 is an apocalyptic number.

12222200102200 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 12222200102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772026814740).

12222200102200 is an abundant number, since it is smaller than the sum of its proper divisors (19321853527280).

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

12222200102200 is a wasteful number, since it uses less digits than its factorization.

12222200102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000630 (or 5000610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12222200102200 its reverse (220100222221), we get a palindrome (12442300324421).

The spelling of 12222200102200 in words is "twelve trillion, two hundred twenty-two billion, two hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5555 6050 8888 10100 11110 12100 12221 20200 22220 24200 24442 27775 44440 48884 55550 61105 97768 111100 122210 222200 244420 305525 488840 611050 1222100 2444200 5000491 10000982 20001964 25002455 40003928 50004910 55005401 100009820 110010802 125012275 200019640 220021604 250024550 275027005 440043208 500049100 505049591 550054010 605059411 1000098200 1010099182 1100108020 1210118822 1375135025 2020198364 2200216040 2420237644 2525247955 2750270050 3025297055 4040396728 4840475288 5050495910 5500540100 5555545501 6050594110 10100991820 11001080200 11111091002 12101188220 12626239775 15126485275 20201983640 22222182004 24202376440 25252479550 27777727505 30252970550 44444364008 50504959100 55555455010 60505941100 61111000511 101009918200 111110910020 121011882200 122222001022 138888637525 222221820040 244444002044 277777275050 305555002555 488888004088 555554550100 611110005110 1111109100200 1222220010220 1527775012775 2444440020440 3055550025550 6111100051100 12222200102200