Search a number
-
+
12001211310032 = 2471924472304727
BaseRepresentation
bin1010111010100011111111…
…1011111101111111010000
31120111022020001101000202222
42232220333323331333100
53033111440043410112
641305140320400212
72346026126664440
oct256507773757720
946438201330688
1012001211310032
113907759a05a7a
121419ab9476068
1369092b643c99
142d6c0c814120
1515c2a4442372
hexaea3fefdfd0

12001211310032 has 80 divisors (see below), whose sum is σ = 27984191754240. Its totient is φ = 4870678863744.

The previous prime is 12001211310019. The next prime is 12001211310043. The reversal of 12001211310032 is 23001311210021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054853 + ... + 6359579.

It is an arithmetic number, because the mean of its divisors is an integer number (349802396928).

Almost surely, 212001211310032 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 12001211310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992095877120).

12001211310032 is an abundant number, since it is smaller than the sum of its proper divisors (15982980444208).

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

12001211310032 is a wasteful number, since it uses less digits than its factorization.

12001211310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307208 (or 2307202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12001211310032 its reverse (23001311210021), we get a palindrome (35002522520053).

The spelling of 12001211310032 in words is "twelve trillion, one billion, two hundred eleven million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2447 4894 9788 17129 19576 34258 39152 46493 68516 92986 137032 185972 274064 325451 371944 650902 743888 1301804 2304727 2603608 4609454 5207216 9218908 16133089 18437816 32266178 36875632 43789813 64532356 87579626 129064712 175159252 258129424 306528691 350318504 613057382 700637008 1226114764 2452229528 4904459056 5639666969 11279333938 22558667876 39477668783 45117335752 78955337566 90234671504 107153672411 157910675132 214307344822 315821350264 428614689644 631642700528 750075706877 857229379288 1500151413754 1714458758576 3000302827508 6000605655016 12001211310032