Search a number
-
+
12002013023312 = 24136710118314657
BaseRepresentation
bin1010111010100110111110…
…1110010000110001010000
31120111101021220221021122102
42232221233232100301100
53033120110313221222
641305352040055532
72346055033305104
oct256515756206120
946441256837572
1012002013023312
113908030507034
12141a0a1a645a8
13690a28776940
142d6c870a7904
1515c2eea06d92
hexaea6fb90c50

12002013023312 has 160 divisors (see below), whose sum is σ = 25687614054144. Its totient is φ = 5398576128000.

The previous prime is 12002013023311. The next prime is 12002013023327. The reversal of 12002013023312 is 21332031020021.

12002013023312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120020130233122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002013023311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577196088 + ... + 2577200744.

Almost surely, 212002013023312 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 12002013023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843807027072).

12002013023312 is an abundant number, since it is smaller than the sum of its proper divisors (13685601030832).

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

12002013023312 is a wasteful number, since it uses less digits than its factorization.

12002013023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12002013023312 its reverse (21332031020021), we get a palindrome (33334044043333).

The spelling of 12002013023312 in words is "twelve trillion, two billion, thirteen million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 67 101 104 134 202 208 268 404 536 808 871 1072 1313 1616 1742 1831 2626 3484 3662 4657 5252 6767 6968 7324 9314 10504 13534 13936 14648 18628 21008 23803 27068 29296 37256 47606 54136 60541 74512 87971 95212 108272 121082 122677 175942 184931 190424 242164 245354 312019 351884 369862 380848 470357 484328 490708 624038 703768 739724 940714 968656 981416 1248076 1407536 1479448 1594801 1881428 1962832 2404103 2496152 2958896 3189602 3762856 4056247 4808206 4992304 6114641 6379204 7525712 8112494 8526967 9616412 12229282 12390377 12758408 16224988 17053934 19232824 24458564 24780754 25516816 31513919 32449976 34107868 38465648 48917128 49561508 63027838 64899952 68215736 97834256 99123016 110850571 126055676 136431472 161074901 198246032 221701142 252111352 322149802 409680947 443402284 504222704 571306789 644299604 819361894 861223667 886804568 1142613578 1288599208 1638723788 1722447334 1773609136 2285227156 2577198416 3277447576 3444894668 4570454312 6554895152 6889789336 7426988257 9140908624 11195907671 13779578672 14853976514 22391815342 29707953028 44783630684 57701985689 59415906056 89567261368 115403971378 118831812112 179134522736 230807942756 461615885512 750125813957 923231771024 1500251627914 3000503255828 6001006511656 12002013023312