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20120312212 = 227112131014523
BaseRepresentation
bin10010101111010000…
…111001100110010100
31220221012220202120121
4102233100321212110
5312201244442322
613124304041324
71311412555240
oct225720714624
956835822517
1020120312212
118595434400
123a96303244
131b885b09b0
14d8c283420
157cb5d3ec7
hex4af439994

20120312212 has 144 divisors (see below), whose sum is σ = 48116105856. Its totient is φ = 7162848000.

The previous prime is 20120312167. The next prime is 20120312231. The reversal of 20120312212 is 21221302102.

It is a happy number.

It is a super-3 number, since 3×201203122123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4446183 + ... + 4450705.

It is an arithmetic number, because the mean of its divisors is an integer number (334139624).

Almost surely, 220120312212 is an apocalyptic number.

20120312212 is a gapful number since it is divisible by the number (22) 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 20120312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058052928).

20120312212 is an abundant number, since it is smaller than the sum of its proper divisors (27995793644).

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

20120312212 is a wasteful number, since it uses less digits than its factorization.

20120312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20120312212 its reverse (21221302102), we get a palindrome (41341614314).

The spelling of 20120312212 in words is "twenty billion, one hundred twenty million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 121 143 154 182 202 242 286 308 364 404 484 572 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 2828 3146 3388 4004 4444 4523 5252 6292 7777 9046 9191 11011 12221 14443 15554 18092 18382 22022 24442 28886 31108 31661 36764 44044 48884 49753 57772 58799 63322 85547 99506 101101 117598 126644 158873 171094 199012 202202 235196 317746 342188 348271 404404 411593 456823 547283 635492 646789 696542 823186 913646 1094566 1112111 1293578 1393084 1646372 1827292 2189132 2224222 2587156 3197761 3830981 4448444 4527523 5025053 5938699 6395522 7114679 7661962 9055046 10050106 11877398 12791044 14229358 15323924 18110092 20100212 23754796 28458716 35175371 41570893 49802753 55275583 65325689 70350742 83141786 99605506 110551166 130651378 140701484 166283572 199211012 221102332 261302756 386929081 457279823 718582579 773858162 914559646 1437165158 1547716324 1829119292 2874330316 5030078053 10060156106 20120312212