Search a number
-
+
21120211212012 = 223211411300826017
BaseRepresentation
bin1001100110101011011101…
…01011111101011011101100
32202210001221211111020001100
410303111232223331123230
510232013143032241022
6112530254024043100
74306612344145533
oct463255653753354
982701854436040
1021120211212012
116803038698830
1224512a4003490
13ba2820448353
1453031baab31a
152695b9dc41ac
hex13356eafd6ec

21120211212012 has 72 divisors (see below), whose sum is σ = 59661084489552. Its totient is φ = 6243964876800.

The previous prime is 21120211211969. The next prime is 21120211212017. The reversal of 21120211212012 is 21021211202112.

21120211212012 is a `hidden beast` number, since 211 + 20 + 211 + 21 + 201 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21120211212017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650396773 + ... + 650429244.

It is an arithmetic number, because the mean of its divisors is an integer number (828626173466).

Almost surely, 221120211212012 is an apocalyptic number.

21120211212012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21120211212012 is an abundant number, since it is smaller than the sum of its proper divisors (38540873277540).

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

21120211212012 is a wasteful number, since it uses less digits than its factorization.

21120211212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300826079 (or 1300826074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21120211212012 its reverse (21021211202112), we get a palindrome (42141422414124).

The spelling of 21120211212012 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236 1300826017 2601652034 3902478051 5203304068 7804956102 11707434153 14309086187 15609912204 23414868306 28618172374 42927258561 46829736612 53333866697 57236344748 85854517122 106667733394 128781775683 160001600091 171709034244 213335466788 257563551366 320003200182 480004800273 515127102732 586672533667 640006400364 960009600546 1173345067334 1760017601001 1920019201092 2346690134668 3520035202002 5280052803003 7040070404004 10560105606006 21120211212012