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3121221012 = 22372131724019
BaseRepresentation
bin1011101000001010…
…0000110110010100
322001112010110022020
42322002200312110
522343013033022
61233414333140
7140226640500
oct27202406624
98045113266
103121221012
1113619365a8
1273135a1b0
133a9848150
1421875d300
1513403b35c
hexba0a0d94

3121221012 has 144 divisors (see below), whose sum is σ = 9660651840. Its totient is φ = 774724608.

The previous prime is 3121220941. The next prime is 3121221083. The reversal of 3121221012 is 2101221213.

It is an interprime number because it is at equal distance from previous prime (3121220941) and next prime (3121221083).

It is a junction number, because it is equal to n+sod(n) for n = 3121220982 and 3121221000.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 117939 + ... + 141957.

It is an arithmetic number, because the mean of its divisors is an integer number (67087860).

Almost surely, 23121221012 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 3121221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830325920).

3121221012 is an abundant number, since it is smaller than the sum of its proper divisors (6539430828).

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

3121221012 is a wasteful number, since it uses less digits than its factorization.

3121221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24070 (or 24061 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3121221012 is about 55867.8889166219. Note that the first 3 decimals coincide. The cubic root of 3121221012 is about 1461.4193072378.

Adding to 3121221012 its reverse (2101221213), we get a palindrome (5222442225).

The spelling of 3121221012 in words is "three billion, one hundred twenty-one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 833 884 1092 1274 1326 1428 1547 1666 1911 2499 2548 2652 3094 3332 3822 4641 4998 6188 7644 9282 9996 10829 18564 21658 24019 32487 43316 48038 64974 72057 96076 129948 144114 168133 288228 312247 336266 408323 504399 624494 672532 816646 936741 1008798 1176931 1224969 1248988 1633292 1873482 2017596 2185729 2353862 2449938 2858261 3530793 3746964 4371458 4707724 4899876 5308199 5716522 6557187 7061586 8574783 8742916 10616398 11433044 13114374 14123172 15300103 15924597 17149566 20007827 21232796 26228748 30600206 31849194 34299132 37157393 40015654 45900309 60023481 61200412 63698388 74314786 80031308 91800618 111472179 120046962 148629572 183601236 222944358 240093924 260101751 445888716 520203502 780305253 1040407004 1560610506 3121221012