Search a number
-
+
12021221010024 = 23323122212424967
BaseRepresentation
bin1010111011101110100010…
…0110111010101001101000
31120120012212120011002220200
42232323220212322221220
53033423430034310044
641322250033552200
72350335030431262
oct256735046725150
946505776132820
1012021221010024
11391519795a816
121421962715660
1369279a036a55
142d7b8a102b32
1515ca75e77369
hexaeee89baa68

12021221010024 has 96 divisors (see below), whose sum is σ = 33622860311040. Its totient is φ = 3876065654400.

The previous prime is 12021221009969. The next prime is 12021221010041. The reversal of 12021221010024 is 42001012212021.

12021221010024 is a `hidden beast` number, since 120 + 212 + 210 + 100 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021221009979 and 12021221010006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3744789 + ... + 6169755.

It is an arithmetic number, because the mean of its divisors is an integer number (350238128240).

Almost surely, 212021221010024 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 12021221010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811430155520).

12021221010024 is an abundant number, since it is smaller than the sum of its proper divisors (21601639301016).

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

12021221010024 is a wasteful number, since it uses less digits than its factorization.

12021221010024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427231 (or 2427224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12021221010024 its reverse (42001012212021), we get a palindrome (54022233222045).

The spelling of 12021221010024 in words is "twelve trillion, twenty-one billion, two hundred twenty-one million, ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2221 2232 4442 6663 8884 13326 17768 19989 26652 39978 53304 68851 79956 137702 159912 206553 275404 413106 550808 619659 826212 1239318 1652424 2424967 2478636 4849934 4957272 7274901 9699868 14549802 19399736 21824703 29099604 43649406 58199208 75173977 87298812 150347954 174597624 225521931 300695908 451043862 601391816 676565793 902087724 1353131586 1804175448 2706263172 5385851707 5412526344 10771703414 16157555121 21543406828 32315110242 43086813656 48472665363 64630220484 96945330726 129260440968 166961402917 193890661452 333922805834 387781322904 500884208751 667845611668 1001768417502 1335691223336 1502652626253 2003536835004 3005305252506 4007073670008 6010610505012 12021221010024