Search a number
-
+
12211222000230 = 2335114111522559
BaseRepresentation
bin1011000110110010010110…
…0011001011001001100110
31121020101022001112110121000
42301230211203023021212
53100032040313001410
641545431414334130
72400142315256241
oct261544543131146
947211261473530
1012211222000230
113988828522960
12145274965a346
136a7689924386
1430305223c258
15162996686dc0
hexb1b258cb266

12211222000230 has 64 divisors (see below), whose sum is σ = 35523554918400. Its totient is φ = 2960296241760.

The previous prime is 12211222000217. The next prime is 12211222000273. The reversal of 12211222000230 is 3200022211221.

12211222000230 is a `hidden beast` number, since 1 + 2 + 211 + 2 + 220 + 0 + 0 + 230 = 666.

It is a super-2 number, since 2×122112220002302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2055758310 + ... + 2055764249.

It is an arithmetic number, because the mean of its divisors is an integer number (555055545600).

Almost surely, 212211222000230 is an apocalyptic number.

12211222000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211222000230 is an abundant number, since it is smaller than the sum of its proper divisors (23312332918170).

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

12211222000230 is a wasteful number, since it uses less digits than its factorization.

12211222000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111522586 (or 4111522580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12211222000230 its reverse (3200022211221), we get a palindrome (15411244211451).

The spelling of 12211222000230 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4111522559 8223045118 12334567677 20557612795 24669135354 37003703031 41115225590 45226748149 61672838385 74007406062 90453496298 111011109093 123345676770 135680244447 185018515155 222022218186 226133740745 271360488894 370037030310 407040733341 452267481490 555055545465 678401222235 814081466682 1110111090930 1221122200023 1356802444470 2035203666705 2442244400046 4070407333410 6105611000115 12211222000230