Search a number
-
+
12021013312 = 267116139989
BaseRepresentation
bin10110011001000001…
…00001101101000000
31011000202122202012021
423030200201231000
5144104334411222
65304500011224
7603614633020
oct131440415500
934022582167
1012021013312
115109604250
1223b5990b14
131197611239
1482072ba80
154a5521ac7
hex2cc821b40

12021013312 has 112 divisors (see below), whose sum is σ = 30228600960. Its totient is φ = 4606617600.

The previous prime is 12021013261. The next prime is 12021013339. The reversal of 12021013312 is 21331012021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×120210133122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 280614 + ... + 320602.

Almost surely, 212021013312 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 12021013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114300480).

12021013312 is an abundant number, since it is smaller than the sum of its proper divisors (18207587648).

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

12021013312 is a wasteful number, since it uses less digits than its factorization.

12021013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40080 (or 40070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12021013312 its reverse (21331012021), we get a palindrome (33352025333).

The spelling of 12021013312 in words is "twelve billion, twenty-one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 154 176 224 244 308 352 427 448 488 616 671 704 854 976 1232 1342 1708 1952 2464 2684 3416 3904 4697 4928 5368 6832 9394 10736 13664 18788 21472 27328 37576 39989 42944 75152 79978 150304 159956 279923 300608 319912 439879 559846 639824 879758 1119692 1279648 1759516 2239384 2439329 2559296 3079153 3519032 4478768 4878658 6158306 7038064 8957536 9757316 12316612 14076128 17075303 17915072 19514632 24633224 26832619 28152256 34150606 39029264 49266448 53665238 68301212 78058528 98532896 107330476 136602424 156117056 187828333 197065792 214660952 273204848 375656666 429321904 546409696 751313332 858643808 1092819392 1502626664 1717287616 3005253328 6010506656 12021013312