Search a number
-
+
12021000001320 = 2335856071170173
BaseRepresentation
bin1010111011101101101101…
…1011110101011100101000
31120120012022011021200222010
42232323123123311130220
53033423002000020240
641322212100555520
72350326405044112
oct256733333653450
946505264250863
1012021000001320
1139150941286a2
1214219006b2ba0
1369276330517b
142d7b68a123b2
1515ca6186d280
hexaeedb6f5728

12021000001320 has 64 divisors (see below), whose sum is σ = 36063452085120. Its totient is φ = 3205559815424.

The previous prime is 12021000001243. The next prime is 12021000001337. The reversal of 12021000001320 is 2310000012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021000001296 and 12021000001305.

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, 9687754 + ... + 10857926.

It is an arithmetic number, because the mean of its divisors is an integer number (563491438830).

Almost surely, 212021000001320 is an apocalyptic number.

12021000001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021000001320 is an abundant number, since it is smaller than the sum of its proper divisors (24042452083800).

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

12021000001320 is a wasteful number, since it uses less digits than its factorization.

12021000001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255794 (or 1255790 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12021000001320 its reverse (2310000012021), we get a palindrome (14331000013341).

The spelling of 12021000001320 in words is "twelve trillion, twenty-one billion, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 85607 171214 256821 342428 428035 513642 684856 856070 1027284 1170173 1284105 1712140 2054568 2340346 2568210 3424280 3510519 4680692 5136420 5850865 7021038 9361384 10272840 11701730 14042076 17552595 23403460 28084152 35105190 46806920 70210380 140420760 100175000011 200350000022 300525000033 400700000044 500875000055 601050000066 801400000088 1001750000110 1202100000132 1502625000165 2003500000220 2404200000264 3005250000330 4007000000440 6010500000660 12021000001320