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12102214432 = 257311100237
BaseRepresentation
bin10110100010101100…
…10010001100100000
31011020102110012012011
423101112102030200
5144241131330212
65320520242304
7605622061000
oct132126221440
934212405164
1012102214432
115150425910
122419010394
1311ab3a2239
1482b428000
154ac7114a7
hex2d1592320

12102214432 has 96 divisors (see below), whose sum is σ = 30311971200. Its totient is φ = 4715101440.

The previous prime is 12102214427. The next prime is 12102214433. The reversal of 12102214432 is 23441220121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12102214433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70618 + ... + 170854.

It is an arithmetic number, because the mean of its divisors is an integer number (315749700).

Almost surely, 212102214432 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 12102214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155985600).

12102214432 is an abundant number, since it is smaller than the sum of its proper divisors (18209756768).

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

12102214432 is a wasteful number, since it uses less digits than its factorization.

12102214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100279 (or 100257 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12102214432 its reverse (23441220121), we get a palindrome (35543434553).

The spelling of 12102214432 in words is "twelve billion, one hundred two million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 343 352 392 539 616 686 784 1078 1232 1372 1568 2156 2464 2744 3773 4312 5488 7546 8624 10976 15092 17248 30184 60368 100237 120736 200474 400948 701659 801896 1102607 1403318 1603792 2205214 2806636 3207584 4410428 4911613 5613272 7718249 8820856 9823226 11226544 15436498 17641712 19646452 22453088 30872996 34381291 35283424 39292904 54027743 61745992 68762582 78585808 108055486 123491984 137525164 157171616 216110972 246983968 275050328 378194201 432221944 550100656 756388402 864443888 1100201312 1512776804 1728887776 3025553608 6051107216 12102214432