Search a number
-
+
121200202212012 = 223271143723016671
BaseRepresentation
bin11011100011101100011110…
…111111111110001010101100
3120220010121220110222120122200
4123203230132333332022230
5111341221003231241022
61105434334303341500
734346265665516460
oct3343543677761254
9526117813876580
10121200202212012
1135688798514170
12117154b25b1890
13528218c894751
1421d019a3944a0
15e02a66e85bac
hex6e3b1effe2ac

121200202212012 has 72 divisors (see below), whose sum is σ = 381964273646592. Its totient is φ = 31480572002400.

The previous prime is 121200202211989. The next prime is 121200202212043. The reversal of 121200202212012 is 210212202002121.

It is a happy number.

121200202212012 is a `hidden beast` number, since 1 + 21 + 200 + 20 + 221 + 201 + 2 = 666.

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

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, 21861505564 + ... + 21861511107.

Almost surely, 2121200202212012 is an apocalyptic number.

121200202212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121200202212012 is an abundant number, since it is smaller than the sum of its proper divisors (260764071434580).

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

121200202212012 is a wasteful number, since it uses less digits than its factorization.

121200202212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43723016699 (or 43723016694 counting only the distinct ones).

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

Adding to 121200202212012 its reverse (210212202002121), we get a palindrome (331412404214133).

The spelling of 121200202212012 in words is "one hundred twenty-one trillion, two hundred billion, two hundred two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 43723016671 87446033342 131169050013 174892066684 262338100026 306061116697 393507150039 480953183381 524676200052 612122233394 787014300078 918183350091 961906366762 1224244466788 1442859550143 1574028600156 1836366700182 1923812733524 2754550050273 2885719100286 3366672283667 3672733400364 4328578650429 5509100100546 5771438200572 6733344567334 8657157300858 10100016851001 11018200201092 13466689134668 17314314601716 20200033702002 30300050553003 40400067404004 60600101106006 121200202212012