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12000201120312 = 23319166732294889
BaseRepresentation
bin1010111010100000001110…
…1110011001101000111000
31120111012121122112001222220
42232220003232121220320
53033102402441322222
641304452152444040
72345662112344056
oct256500356315070
946435548461886
1012000201120312
113907290762539
1214198770a9620
136907ca279aa2
142d6b545b31d6
1515c2458ebb5c
hexaea03b99a38

12000201120312 has 128 divisors (see below), whose sum is σ = 31614671520000. Its totient is φ = 3785316627456.

The previous prime is 12000201120263. The next prime is 12000201120353. The reversal of 12000201120312 is 21302110200021.

It is a junction number, because it is equal to n+sod(n) for n = 12000201120291 and 12000201120300.

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, 2454528364 + ... + 2454533252.

It is an arithmetic number, because the mean of its divisors is an integer number (246989621250).

Almost surely, 212000201120312 is an apocalyptic number.

12000201120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000201120312 is an abundant number, since it is smaller than the sum of its proper divisors (19614470399688).

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

12000201120312 is a wasteful number, since it uses less digits than its factorization.

12000201120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9809 counting only the distinct ones).

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

Adding to 12000201120312 its reverse (21302110200021), we get a palindrome (33302311320333).

The spelling of 12000201120312 in words is "twelve trillion, two hundred one million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1667 3229 3334 4889 5001 6458 6668 9687 9778 10002 12916 13336 14667 19374 19556 20004 25832 29334 31673 38748 39112 40008 58668 61351 63346 77496 92891 95019 117336 122702 126692 184053 185782 190038 245404 253384 278673 368106 371564 380076 490808 557346 736212 743128 760152 1114692 1472424 2229384 5382743 8149963 10765486 15786581 16148229 16299926 21530972 24449889 31573162 32296458 32599852 43061944 47359743 48899778 63146324 64592916 65199704 94719486 97799556 102272117 126292648 129185832 154849297 189438972 195599112 204544234 299945039 306816351 309698594 378877944 409088468 464547891 599890078 613632702 619397188 818176936 899835117 929095782 1199780156 1227265404 1238794376 1799670234 1858191564 2399560312 2454530808 3599340468 3716383128 7198680936 26316230527 52632461054 78948691581 105264922108 157897383162 210529844216 315794766324 500008380013 631589532648 1000016760026 1500025140039 2000033520052 3000050280078 4000067040104 6000100560156 12000201120312